Truong, T. T. Quartic anharmonic oscillator integral properties via the 2D-quantum free fall problem. (English) Zbl 1360.81160 Far East J. Appl. Math. 94, No. 6, 455-490 (2016). MSC: 81Q10 33E99 45H05 81R05 17B81 PDFBibTeX XMLCite \textit{T. T. Truong}, Far East J. Appl. Math. 94, No. 6, 455--490 (2016; Zbl 1360.81160)
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