Takebayashi, Tadayoshi On the growth function of the Artin monoid of type \(\widetilde C_n\). (English) Zbl 1267.20081 Pioneer J. Math. Math. Sci. 2, No. 1, 47-49 (2011). MSC: 20M05 20F36 20F55 05E15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Pioneer J. Math. Math. Sci. 2, No. 1, 47--49 (2011; Zbl 1267.20081) Full Text: Link
Takebayashi, Tadayoshi On the growth function of the Artin monoid of type \(\widetilde A_n\). (English) Zbl 1267.20080 Pioneer J. Math. Math. Sci. 2, No. 1, 39-41 (2011). MSC: 20M05 20F36 20F55 05E15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Pioneer J. Math. Math. Sci. 2, No. 1, 39--41 (2011; Zbl 1267.20080) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -1&\omega&1\\ \omega&\omega&\omega\\ 1&\omega&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1218.16029 Far East J. Appl. Math. 50, No. 1, 75-80 (2011). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 50, No. 1, 75--80 (2011; Zbl 1218.16029) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -1&\omega&1\\ 1&-1&\omega\\ 1&\omega&\omega\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1218.16028 Far East J. Appl. Math. 50, No. 1, 69-74 (2011). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 50, No. 1, 69--74 (2011; Zbl 1218.16028) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}-\omega&-\omega&-2\omega\\ \omega&-1&\omega\\ -\tfrac{1}{2\omega}&\omega&\omega\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1218.16027 Far East J. Appl. Math. 50, No. 2, 163-168 (2011). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 50, No. 2, 163--168 (2011; Zbl 1218.16027) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -1&-i&1\\ 1&i&-i\\ 1&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1218.16026 Far East J. Appl. Math. 50, No. 2, 155-161 (2011). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 50, No. 2, 155--161 (2011; Zbl 1218.16026) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\zeta&\zeta^{-1}\\ 1&-1\end{smallmatrix}\right)\), of rank 2. (English) Zbl 1218.16025 Far East J. Appl. Math. 50, No. 2, 151-154 (2011). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 50, No. 2, 151--154 (2011; Zbl 1218.16025) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} i&-i&1\\ 1&-1&-i\\ 1&1&i\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1217.16032 Far East J. Appl. Math. 51, No. 2, 133-140 (2011). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 51, No. 2, 133--140 (2011; Zbl 1217.16032) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\omega&\omega&1\\ \omega&-1&1\\ 1&\omega^2&\omega\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1217.16031 Far East J. Appl. Math. 51, No. 2, 125-132 (2011). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 51, No. 2, 125--132 (2011; Zbl 1217.16031) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -\omega&-\omega&1\\ \omega&-1&-\omega\\ 1&1&-\omega^2\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1217.16030 Far East J. Appl. Math. 51, No. 1, 73-80 (2011). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 51, No. 1, 73--80 (2011; Zbl 1217.16030) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -1&\omega&1\\ 1&-1&\omega^2\\ 1&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16036 Far East J. Appl. Math. 49, No. 2, 151-156 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 49, No. 2, 151--156 (2010; Zbl 1211.16036) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -i&i&1\\ 1&-1&-i\\ 1&1&i\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16035 Far East J. Appl. Math. 49, No. 2, 123-129 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 49, No. 2, 123--129 (2010; Zbl 1211.16035) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -\omega&-\omega^2&-2\omega-1\\ 1&-1&-1\\ \tfrac{1}{-2\omega-1}&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16034 Far East J. Appl. Math. 49, No. 2, 117-122 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 49, No. 2, 117--122 (2010; Zbl 1211.16034) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} i&-1&2i-1\\ 1&-1&-1\\ \tfrac{1}{2i-1}&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16033 Far East J. Appl. Math. 49, No. 1, 51-55 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 49, No. 1, 51--55 (2010; Zbl 1211.16033) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} \omega&\omega^2&2\omega-1\\ 1&-1&-1\\ \tfrac{1}{2\omega-1}&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16032 Far East J. Appl. Math. 49, No. 1, 39-43 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 49, No. 1, 39--43 (2010; Zbl 1211.16032) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\zeta&\zeta^4&2\zeta-1\\ 1&-1&-1\\ \tfrac{1}{2\zeta-1}&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16031 Far East J. Appl. Math. 49, No. 1, 33-38 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 49, No. 1, 33--38 (2010; Zbl 1211.16031) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\omega&\omega^2&1\\ 1&-1&\omega\\ 1&1&\omega^2\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16030 Far East J. Appl. Math. 48, No. 2, 135-140 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 48, No. 2, 135--140 (2010; Zbl 1211.16030) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -1&-1&1\\ 1&-1&1\\ 1&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16029 Far East J. Appl. Math. 48, No. 2, 131-134 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 48, No. 2, 131--134 (2010; Zbl 1211.16029) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -1&\zeta&1\\ 1&-1&1\\ 1&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16028 Far East J. Appl. Math. 48, No. 2, 127-130 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 48, No. 2, 127--130 (2010; Zbl 1211.16028) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -1&-1&1\\ 1&-1&-1\\ 1&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16027 Far East J. Appl. Math. 48, No. 1, 69-73 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 48, No. 1, 69--73 (2010; Zbl 1211.16027) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -1&-1&0\\ 1&-1&-1\\ 0&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16026 Far East J. Appl. Math. 48, No. 1, 65-68 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 48, No. 1, 65--68 (2010; Zbl 1211.16026) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -1&1&1\\ 1&-1&1\\ 1&1&-1\end{smallmatrix}\right)\), of rank 3. (English) Zbl 1211.16025 Far East J. Appl. Math. 48, No. 1, 61-64 (2010). MSC: 16T20 16S15 17B37 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 48, No. 1, 61--64 (2010; Zbl 1211.16025) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} \omega&-\omega\\ \omega&-\omega\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16039 Far East J. Appl. Math. 47, No. 2, 143-148 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 47, No. 2, 143--148 (2010; Zbl 1206.16039) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -i&-i\\ -1&-i\end{smallmatrix}\right)\), of type \(A_2\). (English) Zbl 1206.16038 Far East J. Appl. Math. 47, No. 2, 137-142 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 47, No. 2, 137--142 (2010; Zbl 1206.16038) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\xi&\xi^4\\ \xi^4&-1\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16037 Far East J. Appl. Math. 47, No. 1, 59-64 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 47, No. 1, 59--64 (2010; Zbl 1206.16037) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} \xi^4&\xi^5\\ -1&-1\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16036 Far East J. Appl. Math. 46, No. 2, 161-167 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 46, No. 2, 161--167 (2010; Zbl 1206.16036) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\omega&\omega\\ -1&-1\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16035 Far East J. Appl. Math. 46, No. 2, 155-159 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 46, No. 2, 155--159 (2010; Zbl 1206.16035) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} \xi&\xi^4\\ \xi^4&-1\end{smallmatrix}\right)\), of type \(A_2\). (English) Zbl 1206.16034 Far East J. Appl. Math. 46, No. 1, 79-83 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 46, No. 1, 79--83 (2010; Zbl 1206.16034) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -\xi&-\xi^4\\ -\xi^4&-1\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16033 Far East J. Appl. Math. 46, No. 1, 71-77 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 46, No. 1, 71--77 (2010; Zbl 1206.16033) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} -\omega&-\omega\\ \omega&-1\end{smallmatrix}\right)\), of type \(A_2\). (English) Zbl 1206.16032 Far East J. Appl. Math. 46, No. 1, 65-69 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 46, No. 1, 65--69 (2010; Zbl 1206.16032) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} i&i\\ -1&-1\end{smallmatrix}\right)\), of type \(A_2\). (English) Zbl 1206.16031 Far East J. Appl. Math. 45, No. 2, 157-161 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 45, No. 2, 157--161 (2010; Zbl 1206.16031) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\xi&\xi^4\\ 1&-1\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16030 Far East J. Appl. Math. 45, No. 2, 151-156 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 45, No. 2, 151--156 (2010; Zbl 1206.16030) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\xi&\xi^2\\ -\xi^3&-1\end{smallmatrix}\right)\), of type \(A_2\). (English) Zbl 1206.16029 Far East J. Appl. Math. 45, No. 2, 117-121 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 45, No. 2, 117--121 (2010; Zbl 1206.16029) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}-1&1\\ \xi&-1\end{smallmatrix}\right)\), of type \(A_2\). (English) Zbl 1206.16028 Far East J. Appl. Math. 45, No. 2, 111-115 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 45, No. 2, 111--115 (2010; Zbl 1206.16028) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}-\omega &-\omega\\ -1&-1\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16027 Far East J. Appl. Math. 45, No. 1, 77-81 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 45, No. 1, 77--81 (2010; Zbl 1206.16027) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\omega&\omega\\ \omega&\omega\end{smallmatrix}\right)\), of type \(A_2\). (English) Zbl 1206.16026 Far East J. Appl. Math. 45, No. 1, 71-75 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 45, No. 1, 71--75 (2010; Zbl 1206.16026) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\omega &1\\ -1&-1\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16025 Far East J. Appl. Math. 45, No. 1, 65-69 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 45, No. 1, 65--69 (2010; Zbl 1206.16025) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}-\xi^3 &-\xi\\ -1&-1\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16024 Far East J. Appl. Math. 44, No. 2, 131-136 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 44, No. 2, 131--136 (2010; Zbl 1206.16024) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\omega &1\\ \omega&\omega^2\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16023 Far East J. Appl. Math. 43, No. 2, 155-159 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 43, No. 2, 155--159 (2010; Zbl 1206.16023) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} \omega&1\\ \omega&-1\end{smallmatrix}\right)\), of type \(B_2\). (English) Zbl 1206.16022 Far East J. Appl. Math. 43, No. 2, 131-135 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 43, No. 2, 131--135 (2010; Zbl 1206.16022) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix} i&1\\ -1&-1\end{smallmatrix}\right)\) of type \(B_2\). (English) Zbl 1202.16029 Far East J. Appl. Math. 43, No. 1, 53-56 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 43, No. 1, 53--56 (2010; Zbl 1202.16029) Full Text: Link
Takebayashi, Tadayoshi On the Nichols algebra associated to \((q_{ij})=\left(\begin{smallmatrix}\omega&-1\\ -\omega^2&\omega\end{smallmatrix}\right)\) of type \(A_2\). (English) Zbl 1202.16028 Far East J. Appl. Math. 43, No. 1, 49-52 (2010). MSC: 16T20 16S15 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 43, No. 1, 49--52 (2010; Zbl 1202.16028) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{46}^{(1,1)}\). (English) Zbl 1170.11313 Far East J. Appl. Math. 36, No. 1, 127-131 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 36, No. 1, 127--131 (2009; Zbl 1170.11313) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{44}^{(1,1)}\). (English) Zbl 1170.11312 Far East J. Appl. Math. 36, No. 1, 115-126 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 36, No. 1, 115--126 (2009; Zbl 1170.11312) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{36}^{(1,1)}\). (English) Zbl 1170.11311 Far East J. Appl. Math. 36, No. 1, 105-114 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 36, No. 1, 105--114 (2009; Zbl 1170.11311) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{40}^{(1,1)}\). (English) Zbl 1170.11310 Far East J. Appl. Math. 36, No. 1, 97-104 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 36, No. 1, 97--104 (2009; Zbl 1170.11310) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{42}^{(1,1)}\). (English) Zbl 1170.11309 Far East J. Appl. Math. 36, No. 1, 89-95 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 36, No. 1, 89--95 (2009; Zbl 1170.11309) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{26}^{(1,1)}\). (English) Zbl 1170.11308 Far East J. Appl. Math. 36, No. 1, 83-88 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 36, No. 1, 83--88 (2009; Zbl 1170.11308) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{10}^{(1,1)}\). (English) Zbl 1166.11321 Far East J. Appl. Math. 35, No. 1, 125-128 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 35, No. 1, 125--128 (2009; Zbl 1166.11321) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{38}^{(1,1)}\). (English) Zbl 1166.11320 Far East J. Appl. Math. 35, No. 3, 345-350 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 35, No. 3, 345--350 (2009; Zbl 1166.11320) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{32}^{(1,1)}\). (English) Zbl 1166.11319 Far East J. Appl. Math. 35, No. 3, 337-344 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 35, No. 3, 337--344 (2009; Zbl 1166.11319) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{34}^{(1,1)}\). (English) Zbl 1166.11318 Far East J. Appl. Math. 35, No. 3, 333-336 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 35, No. 3, 333--336 (2009; Zbl 1166.11318) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{30}^{(1,1)}\). (English) Zbl 1166.11317 Far East J. Appl. Math. 35, No. 3, 327-331 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 35, No. 3, 327--331 (2009; Zbl 1166.11317) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{24}^{(1,1)}\). (English) Zbl 1166.11316 Far East J. Appl. Math. 35, No. 3, 321-326 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 35, No. 3, 321--326 (2009; Zbl 1166.11316) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{28}^{(1,1)}\). (English) Zbl 1166.11315 Far East J. Appl. Math. 35, No. 3, 315-319 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 35, No. 3, 315--319 (2009; Zbl 1166.11315) Full Text: Link
Takebayashi, Tadayoshi On the eta-product of the elliptic root system \(A_{20}^{(1,1)}\). (English) Zbl 1166.11314 Far East J. Appl. Math. 35, No. 3, 309-314 (2009). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 35, No. 3, 309--314 (2009; Zbl 1166.11314) Full Text: Link
Takebayashi, Tadayoshi Weyl groups of the nonreduced 4-extended affine root systems. (English) Zbl 1153.17311 Far East J. Appl. Math. 33, No. 2, 155-186 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 33, No. 2, 155--186 (2008; Zbl 1153.17311) Full Text: Link
Takebayashi, Tadayoshi The Weyl group of the 4-extended affine rootsystem \(BC_l^{(2,1,1,1)}(l \geq 1)\). (English) Zbl 1153.17310 Far East J. Appl. Math. 33, No. 1, 145-154 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 33, No. 1, 145--154 (2008; Zbl 1153.17310) Full Text: Link
Takebayashi, Tadayoshi The growth series of the Weyl group of type \(A_1^{(1,1,1,1)\ast}(12)\). (English) Zbl 1153.17309 Far East J. Appl. Math. 32, No. 3, 323-335 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 3, 323--335 (2008; Zbl 1153.17309) Full Text: Link
Takebayashi, Tadayoshi The growth series of the Weyl group of type \(A_1^{(1,1,1)\ast}(2)\). (English) Zbl 1153.17308 Far East J. Appl. Math. 32, No. 3, 311-321 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 3, 311--321 (2008; Zbl 1153.17308) Full Text: Link
Takebayashi, Tadayoshi Nonreduced 4-extended affine root systems. (English) Zbl 1153.17307 Far East J. Appl. Math. 32, No. 3, 285-309 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 3, 285--309 (2008; Zbl 1153.17307) Full Text: Link
Takebayashi, Tadayoshi Defining relations of the non simply-laced 4-extended affine Lie algebras of type \(X_n^{(1,1,1,1)}\). (English) Zbl 1153.17306 Far East J. Appl. Math. 32, No. 2, 255-266 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 2, 255--266 (2008; Zbl 1153.17306) Full Text: Link
Takebayashi, Tadayoshi Defining relations of the simply-laced 4-extended affine Lie algebras. (English) Zbl 1153.17305 Far East J. Appl. Math. 32, No. 2, 243-254 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 2, 243--254 (2008; Zbl 1153.17305) Full Text: Link
Takebayashi, Tadayoshi Weyl groups of the reduced non-simply laced 4-extended affine root systems. (English) Zbl 1153.17304 Far East J. Appl. Math. 32, No. 2, 221-241 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 2, 221--241 (2008; Zbl 1153.17304) Full Text: Link
Takebayashi, Tadayoshi The Weyl groups of the 4-extended affine root systems of type \(A_1\). (English) Zbl 1153.20309 Far East J. Appl. Math. 32, No. 1, 83-92 (2008). MSC: 20F55 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 1, 83--92 (2008; Zbl 1153.20309) Full Text: Link
Takebayashi, Tadayoshi Weyl groups of the simply-laced 4-extended affine root systems. (English) Zbl 1153.20308 Far East J. Appl. Math. 32, No. 1, 73-82 (2008). MSC: 20F55 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 1, 73--82 (2008; Zbl 1153.20308) Full Text: Link
Takebayashi, Tadayoshi The growth series of the Weyl group of type \(A_1^{(1,1,1,1)^{\ast}}(4)\). (English) Zbl 1153.17303 Far East J. Appl. Math. 32, No. 1, 57-71 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 1, 57--71 (2008; Zbl 1153.17303) Full Text: Link
Takebayashi, Tadayoshi The growth series of the Weyl group of type \(A_1^{(1,1,1,1)^{\ast}}(3)\). (English) Zbl 1153.17302 Far East J. Appl. Math. 32, No. 1, 41-55 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 32, No. 1, 41--55 (2008; Zbl 1153.17302) Full Text: Link
Takebayashi, Tadayoshi Elliptic eta-product of type \(A_l^{(1,1)}\) (\(l\geq 1\)). (English) Zbl 1156.11314 Far East J. Appl. Math. 33, No. 3, 433-436 (2008). MSC: 11F22 17B20 11M41 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 33, No. 3, 433--436 (2008; Zbl 1156.11314) Full Text: Link
Takebayashi, Tadayoshi The growth series of the Weyl group of type \(A_1^{(1,1,1,1)*}(2)\). (English) Zbl 1198.17006 Far East J. Appl. Math. 31, No. 2, 137-157 (2008). MSC: 17B10 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 31, No. 2, 137--157 (2008; Zbl 1198.17006) Full Text: Link
Takebayashi, Tadayoshi Weyl groups of the marked 3-extended affine root systems. (English) Zbl 1147.20311 Far East J. Appl. Math. 31, No. 1, 81-119 (2008). MSC: 20F55 17B20 20F05 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 31, No. 1, 81--119 (2008; Zbl 1147.20311) Full Text: Link
Takebayashi, Tadayoshi Weyl groups of the reduced non-simply laced 3-extended affine root systems. (English) Zbl 1147.20310 Far East J. Appl. Math. 31, No. 1, 47-80 (2008). MSC: 20F55 17B20 20F05 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 31, No. 1, 47--80 (2008; Zbl 1147.20310) Full Text: Link
Takebayashi, Tadayoshi The Weyl group of the 3-extended affine root system \(BC_l^{(2,4,4)}\) (\(l\geq 1\)). (English) Zbl 1160.20312 JP J. Algebra Number Theory Appl. 7, No. 2, 203-215 (2007). MSC: 20F55 17B20 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 7, No. 2, 203--215 (2007; Zbl 1160.20312)
Takebayashi, Tadayoshi The Weyl group of the 3-extended affine root system \(BC_l^{(2,4,2)}(2)\) (\(l\geq 1\)). (English) Zbl 1160.20311 JP J. Algebra Number Theory Appl. 7, No. 2, 189-201 (2007). MSC: 20F55 17B20 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 7, No. 2, 189--201 (2007; Zbl 1160.20311)
Takebayashi, Tadayoshi The Weyl group of the 3-extended affine root system \(BC_l^{(2,4,1)}\) (\(l\geq 1\)). (English) Zbl 1160.20310 JP J. Algebra Number Theory Appl. 7, No. 2, 167-188 (2007). MSC: 20F55 17B20 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 7, No. 2, 167--188 (2007; Zbl 1160.20310)
Takebayashi, Tadayoshi The Weyl group of the 3-extended affine root system \(BC_l^{(2,1,1)}\) (\(l\geq 1\)). (English) Zbl 1160.20309 JP J. Algebra Number Theory Appl. 7, No. 2, 153-165 (2007). MSC: 20F55 17B20 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 7, No. 2, 153--165 (2007; Zbl 1160.20309)
Takebayashi, Tadayoshi Defining relations of the simply-laced 3-extended affine Lie algebras. (English) Zbl 1159.17005 JP J. Algebra Number Theory Appl. 8, No. 1, 45-68 (2007). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B65 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 8, No. 1, 45--68 (2007; Zbl 1159.17005)
Takebayashi, Tadayoshi Weyl groups of the nonreduced 2-extended affine root systems. (English) Zbl 1156.20312 JP J. Algebra Number Theory Appl. 8, No. 1, 37-43 (2007). MSC: 20F55 17B20 17B67 20F05 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 8, No. 1, 37--43 (2007; Zbl 1156.20312)
Takebayashi, Tadayoshi Elliptic Hecke algebras of the exceptional types. (English) Zbl 1156.20301 JP J. Algebra Number Theory Appl. 8, No. 1, 31-35 (2007). MSC: 20C08 17B20 20F55 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 8, No. 1, 31--35 (2007; Zbl 1156.20301)
Takebayashi, Tadayoshi The Weyl group of the 3-extended affine root system \(BC_l^{(2,2,2)}(2)\) (\(l\geq 1\)). (English) Zbl 1156.20311 JP J. Algebra Number Theory Appl. 8, No. 1, 19-30 (2007). MSC: 20F55 17B20 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 8, No. 1, 19--30 (2007; Zbl 1156.20311)
Takebayashi, Tadayoshi The Weyl group of the 3-extended affine root system \(BC_l^{(2,2,1)}(2)\) (\(l\geq 1\)). (English) Zbl 1156.20310 JP J. Algebra Number Theory Appl. 8, No. 1, 5-17 (2007). MSC: 20F55 17B20 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 8, No. 1, 5--17 (2007; Zbl 1156.20310)
Takebayashi, Tadayoshi Note on the defining relations of the elliptic Lie algebras with rank \(\leq 2\). (English) Zbl 1159.17004 JP J. Algebra Number Theory Appl. 8, No. 1, 1-4 (2007). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B65 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 8, No. 1, 1--4 (2007; Zbl 1159.17004)
Takebayashi, Tadayoshi Growth series of the Weyl group of the 3-extended affine root system \(A^{(1,1,1)}_2\). (English) Zbl 1184.17005 Far East J. Appl. Math. 28, No. 3, 345-358 (2007). Reviewer: Yucai Su (Hefei) MSC: 17B22 17B05 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 28, No. 3, 345--358 (2007; Zbl 1184.17005)
Takebayashi, Tadayoshi The growth series of the Weyl group of type \(A^{(1,1,1)}_1\). (English) Zbl 1198.17008 Far East J. Appl. Math. 28, No. 2, 209-221 (2007). MSC: 17B22 17B05 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 28, No. 2, 209--221 (2007; Zbl 1198.17008)
Takebayashi, Tadayoshi Defining relations of the non simply-laced 3-extended affine Lie algebras of type \(X^{(1,1,1)}_n\). (English) Zbl 1208.17020 Far East J. Appl. Math. 28, No. 2, 183-208 (2007). MSC: 17B65 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 28, No. 2, 183--208 (2007; Zbl 1208.17020)
Takebayashi, Tadayoshi The Weyl group of the 3-extended affine root system \(A_1^{(1,1,1)}\). (English) Zbl 1131.20306 Far East J. Appl. Math. 27, No. 3, 369-376 (2007). MSC: 20F55 17B20 20F05 17B65 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 27, No. 3, 369--376 (2007; Zbl 1131.20306)
Takebayashi, Tadayoshi The growth series of the Weyl groups of the 3-extended affine root systems \(A_1^{(1,1,1)*}(3)\), \(A_1^{(1,1,1)*}(4)\) and \(A_1^{(1,1,1)*}(5)\). (English) Zbl 1131.20305 Far East J. Appl. Math. 27, No. 3, 453-459 (2007). MSC: 20F55 20F05 17B20 17B65 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 27, No. 3, 453--459 (2007; Zbl 1131.20305)
Takebayashi, Tadayoshi The \(q\)-Eulerian distributions of the elliptic Weyl groups of types \(A_2^{(1,1)}\), \(C_2^{(1,1)}\), \(C_2^{(2,1)}\) and the Poincaré series of types \(G_2^{(1,1)}\), \(G_2^{(3,1)}\). (English) Zbl 1137.20031 Far East J. Appl. Math. 27, No. 3, 441-452 (2007). MSC: 20F55 20F05 17B20 33D67 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 27, No. 3, 441--452 (2007; Zbl 1137.20031)
Takebayashi, Tadayoshi The Weyl group of the 3-extended affine root system \(A_1^{(1,1,1)*}(2)(2)\). (English) Zbl 1131.20304 Far East J. Appl. Math. 27, No. 3, 387-396 (2007). MSC: 20F55 17B20 20F05 17B65 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 27, No. 3, 387--396 (2007; Zbl 1131.20304)
Takebayashi, Tadayoshi The Weyl group of the 3-extended affine root system \(A_1^{(1,1,1)*}(1)\). (English) Zbl 1131.20303 Far East J. Appl. Math. 27, No. 3, 377-385 (2007). MSC: 20F55 17B20 20F05 17B65 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, Far East J. Appl. Math. 27, No. 3, 377--385 (2007; Zbl 1131.20303)
Takebayashi, Tadayoshi Weyl groups of the simply-laced 3-extended affine root systems. (English) Zbl 1132.17011 JP J. Algebra Number Theory Appl. 7, No. 1, 119-130 (2007). Reviewer: Alberto Elduque (Zaragoza) MSC: 17B65 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 7, No. 1, 119--130 (2007; Zbl 1132.17011)
Takebayashi, Tadayoshi On the theta function associated to the elliptic root system of type \(A^{(1,1)}_1\). (English) Zbl 1135.20029 JP J. Algebra Number Theory Appl. 7, No. 1, 109-118 (2007). MSC: 20F55 17B20 33D67 11F22 11F27 PDFBibTeX XMLCite \textit{T. Takebayashi}, JP J. Algebra Number Theory Appl. 7, No. 1, 109--118 (2007; Zbl 1135.20029)
Takebayashi, Tadayoshi The \(q\)-Eulerian distribution of the elliptic Weyl group of type \(A_1^{(1,1)}\). (English) Zbl 1111.20033 Proc. Japan Acad., Ser. A 82, No. 3, 53-55 (2006). MSC: 20F55 20F05 17B20 PDFBibTeX XMLCite \textit{T. Takebayashi}, Proc. Japan Acad., Ser. A 82, No. 3, 53--55 (2006; Zbl 1111.20033) Full Text: DOI Euclid
Takebayashi, Tadayoshi The growth series of the 2-extended affine Weyl group of type \(A_2^{(1,1)}\). (English) Zbl 1104.20039 J. Algebra 305, No. 2, 1071-1083 (2006). MSC: 20F55 20F05 17B20 PDFBibTeX XMLCite \textit{T. Takebayashi}, J. Algebra 305, No. 2, 1071--1083 (2006; Zbl 1104.20039) Full Text: DOI
Takebayashi, Tadayoshi The growth series of the \(n\)-extended affine Weyl group of type \(A_1\). (English) Zbl 1084.20028 Proc. Japan Acad., Ser. A 81, No. 3, 51-56 (2005). MSC: 20F55 20F05 17B20 PDFBibTeX XMLCite \textit{T. Takebayashi}, Proc. Japan Acad., Ser. A 81, No. 3, 51--56 (2005; Zbl 1084.20028) Full Text: DOI Euclid
Takebayashi, Tadayoshi Elliptic Artin groups and elliptic Hecke algebras. (English) Zbl 1091.20004 J. Algebra 292, No. 2, 343-362 (2005). Reviewer: Chen Chengdong (Shanghai) MSC: 20C08 20F36 20F05 PDFBibTeX XMLCite \textit{T. Takebayashi}, J. Algebra 292, No. 2, 343--362 (2005; Zbl 1091.20004) Full Text: DOI
Takebayashi, Tadayoshi The Poincaré series of the central extension \(\widetilde W\) of the elliptic Weyl group of type \(A_1^{(1,1)}\). (English) Zbl 1069.20029 J. Algebra 286, No. 1, 213-232 (2005). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 20F05 33D67 17B20 PDFBibTeX XMLCite \textit{T. Takebayashi}, J. Algebra 286, No. 1, 213--232 (2005; Zbl 1069.20029) Full Text: DOI
Takebayashi, Tadayoshi Defining relations of the elliptic Lie algebra of type \(A_{1}^{(1,1)}\). (English) Zbl 1106.17031 J. Algebra 278, No. 1, 134-147 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, J. Algebra 278, No. 1, 134--147 (2004; Zbl 1106.17031) Full Text: DOI
Takebayashi, Tadayoshi Elliptic Hecke algebras and modified Cherednik algebras. (English) Zbl 1045.22019 Proc. Japan Acad., Ser. A 79, No. 4, 80-84 (2003). Reviewer: Samuel James Patterson (Göttingen) MSC: 22E50 PDFBibTeX XMLCite \textit{T. Takebayashi}, Proc. Japan Acad., Ser. A 79, No. 4, 80--84 (2003; Zbl 1045.22019) Full Text: DOI Euclid
Takebayashi, Tadayoshi Kazhdan-Lusztig polynomials of the central extension of the elliptic Hecke algebras. (English) Zbl 1067.20007 J. Algebra 269, No. 1, 275-284 (2003). MSC: 20C08 20F55 PDFBibTeX XMLCite \textit{T. Takebayashi}, J. Algebra 269, No. 1, 275--284 (2003; Zbl 1067.20007) Full Text: DOI