Xi, Nanhua The based ring of two-sided cells of affine Weyl groups. (English) Zbl 1328.20009 Lin, Chang-Shou (ed.) et al., Second international congress of Chinese mathematicians. Proceedings of the congress (ICCM2001), Taipei, Taiwan, December 17–22, 2001. Somerville: International Press (ISBN 1-57146-155-8/hbk). New Studies in Advanced Mathematics 4, 133-144 (2004). MSC: 20C08 20F55 20G05 PDFBibTeX XMLCite \textit{N. Xi}, New Stud. Adv. Math. 4, 133--144 (2004; Zbl 1328.20009)
Sergeev, S. M. Evolution operator for a quantum pendulum. (English) Zbl 1178.81064 Theor. Math. Phys. 138, No. 1, 28-32 (2004); translation from Teor. Mat. Fiz. 138, No. 1, 35-40 (2004). MSC: 81Q05 81R50 33D15 PDFBibTeX XMLCite \textit{S. M. Sergeev}, Theor. Math. Phys. 138, No. 1, 28--32 (2004; Zbl 1178.81064); translation from Teor. Mat. Fiz. 138, No. 1, 35--40 (2004) Full Text: DOI
Krattenthaler, Christian Asymptotics for random walks in alcoves of affine Weyl groups. (English) Zbl 1186.05016 Sémin. Lothar. Comb. 52, B52i, 72 p. (2004). MSC: 05A16 05E05 05E15 60G50 82B23 82B41 PDFBibTeX XMLCite \textit{C. Krattenthaler}, Sémin. Lothar. Comb. 52, B52i, 72 p. (2004; Zbl 1186.05016) Full Text: arXiv EuDML EMIS
Kisil, V. \(p\)-mechanics and De Donder-Weyl theory. (English) Zbl 1092.81061 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1108-1115 (2004). Reviewer: I. Yehorchenko (Kyïv) MSC: 81T70 15A90 17B81 81R05 15A66 PDFBibTeX XMLCite \textit{V. Kisil}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine. 1108--1115 (2004; Zbl 1092.81061) Full Text: arXiv
Szablikowski, B. M.; Błaszak, M. Soliton systems as \(\star\)-deformed dispersionless equations. (English) Zbl 1093.81036 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 478-485 (2004). Reviewer: S. V. Spichak (Kyïv) MSC: 81R12 37K10 81S10 PDFBibTeX XMLCite \textit{B. M. Szablikowski} and \textit{M. Błaszak}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine. 478--485 (2004; Zbl 1093.81036)
Safapour, A.; Kamyabigol, R. A necessary condition for Weyl-Heisenberg frames. (English) Zbl 1092.42019 Bull. Iran. Math. Soc. 30, No. 2, 67-79 (2004). Reviewer: Ole Christensen (Lyngby) MSC: 42C15 43A40 43A65 PDFBibTeX XMLCite \textit{A. Safapour} and \textit{R. Kamyabigol}, Bull. Iran. Math. Soc. 30, No. 2, 67--79 (2004; Zbl 1092.42019)
Jacon, Nicolas On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity. (English) Zbl 1085.20001 J. Math. Kyoto Univ. 44, No. 4, 729-767 (2004). MSC: 20C08 20C30 20F55 PDFBibTeX XMLCite \textit{N. Jacon}, J. Math. Kyoto Univ. 44, No. 4, 729--767 (2004; Zbl 1085.20001) Full Text: DOI arXiv
Can, H. Perfect systems for Specht modules of \(G(m,1,n)\). (English) Zbl 1077.20021 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 53, No. 1, 33-55 (2004). MSC: 20C40 20F55 20C30 68W30 PDFBibTeX XMLCite \textit{H. Can}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 53, No. 1, 33--55 (2004; Zbl 1077.20021) Full Text: DOI
Larsen, Michael Determining a semisimple group from its representation degrees. (English) Zbl 1073.22009 Int. Math. Res. Not. 2004, No. 38, 1989-2016 (2004). Reviewer: Gheorghe Zet (Iaşi) MSC: 22E46 20F40 PDFBibTeX XMLCite \textit{M. Larsen}, Int. Math. Res. Not. 2004, No. 38, 1989--2016 (2004; Zbl 1073.22009) Full Text: DOI arXiv
Taniguchi, Kenji On the symmetry of commuting differential operators with singularities along hyperplanes. (English) Zbl 1086.37030 Int. Math. Res. Not. 2004, No. 36, 1845-1867 (2004). MSC: 37J35 17B80 20F55 32S22 81R12 PDFBibTeX XMLCite \textit{K. Taniguchi}, Int. Math. Res. Not. 2004, No. 36, 1845--1867 (2004; Zbl 1086.37030) Full Text: DOI arXiv
Cherednik, Ivan Diagonal coinvariants and double affine Hecke algebras. (English) Zbl 1106.20032 Int. Math. Res. Not. 2004, No. 16, 769-791 (2004). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 13A50 20C08 33D80 17B37 PDFBibTeX XMLCite \textit{I. Cherednik}, Int. Math. Res. Not. 2004, No. 16, 769--791 (2004; Zbl 1106.20032) Full Text: DOI arXiv
Hofmann, Georg The geometry of reflection groups. (English) Zbl 1083.51010 Berichte aus der Mathematik. Darmstadt: Shaker Verlag; Darmstadt: TU Darmstadt, Fachbereich Mathematik (ISBN 3-8322-3331-8/pbk). viii, 168 p. (2004). Reviewer: Huberta Lausch (Grafing) MSC: 51F15 51-02 20F55 05C25 PDFBibTeX XMLCite \textit{G. Hofmann}, The geometry of reflection groups. Darmstadt: Shaker Verlag; Darmstadt: TU Darmstadt, Fachbereich Mathematik (2004; Zbl 1083.51010)
Morris, Alun O.; Mwamba, Patrick Macdonald representations of complex reflection groups. (English) Zbl 1068.20039 Sémin. Lothar. Comb. 52, B52g, 17 p. (2004). MSC: 20F55 20C15 PDFBibTeX XMLCite \textit{A. O. Morris} and \textit{P. Mwamba}, Sémin. Lothar. Comb. 52, B52g, 17 p. (2004; Zbl 1068.20039) Full Text: EuDML EMIS
Feigin, B.; Loktev, S. Deformation of Weyl modules and generalized parking functions. (English) Zbl 1083.17008 Int. Math. Res. Not. 2004, No. 51, 2719-2750 (2004). Reviewer: Dražen Adamović (Zagreb) MSC: 17B67 17B10 05E15 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{S. Loktev}, Int. Math. Res. Not. 2004, No. 51, 2719--2750 (2004; Zbl 1083.17008) Full Text: DOI arXiv
Stembridge, John R. Tight quotients and double quotients in the Bruhat order. (English) Zbl 1067.20053 Electron. J. Comb. 11, No. 2, Research paper R14, 41 p. (2004). MSC: 20F55 06A07 PDFBibTeX XMLCite \textit{J. R. Stembridge}, Electron. J. Comb. 11, No. 2, Research paper R14, 41 p. (2004; Zbl 1067.20053) Full Text: EuDML EMIS
Neeb, Karl-Hermann Infinite-dimensional groups and their representations. (English) Zbl 1076.22016 Anker, Jean-Philippe (ed.) et al., Lie theory. Lie algebras and representations. Boston, MA: Birkhäuser (ISBN 0-8176-3373-1/hbk). Progress in Mathematics 228, 213-328 (2004). Reviewer: Albert Sheu (Lawrence) MSC: 22E65 17B10 47B10 47D03 47L99 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Prog. Math. 228, 213--328 (2004; Zbl 1076.22016)
Gómez-Torrecillas, J.; Lobillo, F. J. Auslander-regular and Cohen-Macaulay quantum groups. (English) Zbl 1079.16033 Algebr. Represent. Theory 7, No. 1, 35-42 (2004). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16W35 16W70 17B37 16E65 16S36 PDFBibTeX XMLCite \textit{J. Gómez-Torrecillas} and \textit{F. J. Lobillo}, Algebr. Represent. Theory 7, No. 1, 35--42 (2004; Zbl 1079.16033) Full Text: DOI arXiv
Xi, Nanhua On the characterization of the set \({\mathcal D}_1\) of the affine Weyl group of type \(\widetilde A_n\). (English) Zbl 1068.20047 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 483-490 (2004). MSC: 20G05 20F55 20C08 PDFBibTeX XMLCite \textit{N. Xi}, Adv. Stud. Pure Math. 40, 483--490 (2004; Zbl 1068.20047)
Springer, T. A. Cells for a Hecke algebra representation. (English) Zbl 1101.14059 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 469-482 (2004). MSC: 14L30 14M15 20C08 20G05 PDFBibTeX XMLCite \textit{T. A. Springer}, Adv. Stud. Pure Math. 40, 469--482 (2004; Zbl 1101.14059)
Shoji, Toshiaki Green functions attached to limit symbols. (English) Zbl 1065.05096 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 443-467 (2004). MSC: 05E15 20F55 PDFBibTeX XMLCite \textit{T. Shoji}, Adv. Stud. Pure Math. 40, 443--467 (2004; Zbl 1065.05096)
Noumi, Masatoshi; Yamada, Yasuhiko Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group action. (English) Zbl 1061.05103 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 371-442 (2004). Reviewer: Shi Jian-yi (Shanghai) MSC: 05E15 PDFBibTeX XMLCite \textit{M. Noumi} and \textit{Y. Yamada}, Adv. Stud. Pure Math. 40, 371--442 (2004; Zbl 1061.05103) Full Text: arXiv
Bezrukavnikov, Roman; Ostrik, Viktor On tensor categories attached to cells in affine Weyl groups. II. (English) Zbl 1078.20045 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 101-119 (2004). Reviewer: Chen Chengdong (Shanghai) MSC: 20G05 20C08 20F55 PDFBibTeX XMLCite \textit{R. Bezrukavnikov} and \textit{V. Ostrik}, Adv. Stud. Pure Math. 40, 101--119 (2004; Zbl 1078.20045) Full Text: arXiv
Bezrukavnikov, Roman On tensor categories attached to cells in affine Weyl groups. (English) Zbl 1078.20044 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 69-90 (2004). Reviewer: Chen Chengdong (Shanghai) MSC: 20G05 20F55 20C08 14M15 14F05 PDFBibTeX XMLCite \textit{R. Bezrukavnikov}, Adv. Stud. Pure Math. 40, 69--90 (2004; Zbl 1078.20044) Full Text: arXiv
Ariki, Susumu; Mathas, Andrew Hecke algebras with a finite number of indecomposable modules. (English) Zbl 1067.20006 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 17-25 (2004). MSC: 20C08 20F55 16G60 PDFBibTeX XMLCite \textit{S. Ariki} and \textit{A. Mathas}, Adv. Stud. Pure Math. 40, 17--25 (2004; Zbl 1067.20006)
Andersen, Henning Haahr Cells in affine Weyl groups and tilting modules. (English) Zbl 1078.20043 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 1-16 (2004). Reviewer: Shi Jian-yi (Shanghai) MSC: 20G05 17B37 PDFBibTeX XMLCite \textit{H. H. Andersen}, Adv. Stud. Pure Math. 40, 1--16 (2004; Zbl 1078.20043)
Timmesfeld, Franz G. A classification of Weyl groups as finite \(\{3,4\}\)-transposition groups. (English) Zbl 1093.20018 Ho, Chat Yin (ed.) et al., Finite groups 2003. Proceedings of the Gainesville conference on finite groups, Gainesville, FL, USA, March 6-12, 2003. In honour of John Thompson to his 70th birthday. Berlin: Walter de Gruyter (ISBN 3-11-017447-2/hbk). 373-380 (2004). Reviewer: Theo Grundhöfer (Würzburg) MSC: 20F05 20F55 PDFBibTeX XMLCite \textit{F. G. Timmesfeld}, in: Finite groups 2003. Proceedings of the Gainesville conference on finite groups, Gainesville, FL, USA, March 6-12, 2003. In honour of John Thompson to his 70th birthday. Berlin: Walter de Gruyter. 373--380 (2004; Zbl 1093.20018)
Doty, Stephen New versions of Schur-Weyl duality. (English) Zbl 1084.20030 Ho, Chat Yin (ed.) et al., Finite groups 2003. Proceedings of the Gainesville conference on finite groups, Gainesville, FL, USA, March 6-12, 2003. In honour of John Thompson to his 70th birthday. Berlin: Walter de Gruyter (ISBN 3-11-017447-2/hbk). 59-71 (2004). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20G05 17B35 17B37 20C08 20C30 PDFBibTeX XMLCite \textit{S. Doty}, in: Finite groups 2003. Proceedings of the Gainesville conference on finite groups, Gainesville, FL, USA, March 6-12, 2003. In honour of John Thompson to his 70th birthday. Berlin: Walter de Gruyter. 59--71 (2004; Zbl 1084.20030) Full Text: arXiv
Grammaticos, B.; Ramani, A. Discrete Painlevé equations: a review. (English) Zbl 1064.39019 Grammaticos, B. (ed.) et al., Discrete integrable systems. Proceedings of the international CIMPA school, Pondicherry, India, February 2–14, 2003. Berlin: Springer (ISBN 3-540-21425-9/hbk). Lecture Notes in Physics 644, 245-321 (2004). MSC: 39A12 39-02 34M55 33E17 37J35 PDFBibTeX XMLCite \textit{B. Grammaticos} and \textit{A. Ramani}, Lect. Notes Phys. 644, 245--321 (2004; Zbl 1064.39019)
Li, Zhuo; Cao, You’an Affine Weyl groups and \(\mathcal J\)-irreducible monoids of adjoint type. (English) Zbl 1079.20081 Southeast Asian Bull. Math. 28, No. 5, 857-865 (2004). MSC: 20M20 17B45 20G15 PDFBibTeX XMLCite \textit{Z. Li} and \textit{Y. Cao}, Southeast Asian Bull. Math. 28, No. 5, 857--865 (2004; Zbl 1079.20081)
Helminck, Aloysius G. Combinatorics related to orbit closures of symmetric subgroups in flag varieties. (English) Zbl 1067.14050 Campbell, H. E. A. Eddy (ed.) et al., Invariant theory in all characteristics. Proceedings of the workshop on invariant theory, Queen’s University, Kingston, ON, Canada, April 8–19, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3244-1/pbk). CRM Proceedings & Lecture Notes 35, 71-90 (2004). MSC: 14M17 14M15 20G05 PDFBibTeX XMLCite \textit{A. G. Helminck}, CRM Proc. Lect. Notes 35, 71--90 (2004; Zbl 1067.14050)
Drago, A.; Esposito, S. Following Weyl on quantum mechanics: the contribution of Ettore Majorana. (English) Zbl 1078.81005 Found. Phys. 34, No. 5, 871-887 (2004). MSC: 81-03 01A70 22E70 81R20 81S30 PDFBibTeX XMLCite \textit{A. Drago} and \textit{S. Esposito}, Found. Phys. 34, No. 5, 871--887 (2004; Zbl 1078.81005) Full Text: DOI arXiv
Chen, Chengdong; Liu, Jiachun Kazhdan-Lusztig basis elements in Hecke algebras of types \(B_n\) and \(D_n\). (English) Zbl 1066.20046 Algebra Colloq. 11, No. 3, 345-360 (2004). MSC: 20F55 20C08 20G05 05E15 PDFBibTeX XMLCite \textit{C. Chen} and \textit{J. Liu}, Algebra Colloq. 11, No. 3, 345--360 (2004; Zbl 1066.20046)
Takegahara, Yugen Generating functions for permutation representations. (English) Zbl 1120.20012 J. Algebra 281, No. 1, 68-82 (2004). MSC: 20C15 05A15 20E22 20C30 PDFBibTeX XMLCite \textit{Y. Takegahara}, J. Algebra 281, No. 1, 68--82 (2004; Zbl 1120.20012) Full Text: DOI Link
Goodman, Roe Multiplicity-free spaces and Schur-Weyl-Howe duality. (English) Zbl 1060.22010 Tan, Eng-Chye (ed.) et al., Representations of real and \(p\)-adic groups. Expanded lecture notes of the tutorials from the Inaugural Research Program on representation theory of Lie groups of the Institute for Mathematical Sciences, National University of Singapore, Singapore, July, 2002–January, 2003. River Edge, NJ: World Scientific; Singapore: Singapore University Press (ISBN 981-238-779-X/hbk). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 2, 305-415 (2004). Reviewer: A. A. Bogush (Minsk) MSC: 22E45 20G05 22E46 PDFBibTeX XMLCite \textit{R. Goodman}, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 2, 305--415 (2004; Zbl 1060.22010)
Bieliavsky, P.; Pevzner, M. Symmetric spaces and star representations. III. The Poincaré disc. (English) Zbl 1078.53096 Delorme, Patrick (ed.) et al., Noncommutative harmonic analysis. In honor of Jacques Carmona. Boston, MA: Birkhäuser (ISBN 0-8176-3207-7/hbk). Progress in Mathematics 220, 61-77 (2004). Reviewer: Jörg Winkelmann (Nancy) MSC: 53D55 22E45 PDFBibTeX XMLCite \textit{P. Bieliavsky} and \textit{M. Pevzner}, Prog. Math. 220, 61--77 (2004; Zbl 1078.53096) Full Text: arXiv
Digernes, Trond Finite approximations and physics over unconventional fields. (English) Zbl 1057.81514 Kosaki, Hideki (ed.), Operator algebras and applications. Proceedings of the US-Japan seminar held at Kyushu University, Fukuoka, Japan, June 7–11, 1999. Tokyo: Mathematical Society of Japan (ISBN 4-931469-23-X/hbk). Advanced Studies in Pure Mathematics 38, 267-269 (2004). MSC: 81Q05 81P05 81R05 22B05 11R56 81Q99 81S99 PDFBibTeX XMLCite \textit{T. Digernes}, Adv. Stud. Pure Math. 38, 267--269 (2004; Zbl 1057.81514)
Morris, Alun O. Projective representations of finite reflection groups. III. (English) Zbl 1069.20010 Commun. Algebra 32, No. 7, 2679-2694 (2004). MSC: 20C25 20F55 PDFBibTeX XMLCite \textit{A. O. Morris}, Commun. Algebra 32, No. 7, 2679--2694 (2004; Zbl 1069.20010) Full Text: DOI
Putcha, Mohan S. Bruhat-Chevalley order in reductive monoids. (English) Zbl 1076.20058 J. Algebr. Comb. 20, No. 1, 33-53 (2004). Reviewer: Huang Wenxue (Scarborough) MSC: 20M20 20G15 06A07 PDFBibTeX XMLCite \textit{M. S. Putcha}, J. Algebr. Comb. 20, No. 1, 33--53 (2004; Zbl 1076.20058) Full Text: DOI
Beck, Jonathan; Nakajima, Hiraku Crystal bases and two-sided cells of quantum affine algebras. (English) Zbl 1062.17006 Duke Math. J. 123, No. 2, 335-402 (2004). Reviewer: Duncan J. Melville (Canton) MSC: 17B37 PDFBibTeX XMLCite \textit{J. Beck} and \textit{H. Nakajima}, Duke Math. J. 123, No. 2, 335--402 (2004; Zbl 1062.17006) Full Text: DOI arXiv
Abramenko, Peter; Van Maldeghem, Hendrik Maps between buildings that preserve a given Weyl distance. (English) Zbl 1061.51010 Indag. Math., New Ser. 15, No. 3, 305-319 (2004). Reviewer: Günter F. Steinke (Christchurch) MSC: 51E24 20F55 PDFBibTeX XMLCite \textit{P. Abramenko} and \textit{H. Van Maldeghem}, Indag. Math., New Ser. 15, No. 3, 305--319 (2004; Zbl 1061.51010) Full Text: DOI
Krötz, Bernhard A convexity property for real orbits in complexified Riemannian symmetric spaces. (English) Zbl 1056.22007 Math. Res. Lett. 11, No. 2-3, 197-211 (2004). Reviewer: Hubert Gollek (Berlin) MSC: 22E46 32A50 53C35 33C55 32M15 PDFBibTeX XMLCite \textit{B. Krötz}, Math. Res. Lett. 11, No. 2--3, 197--211 (2004; Zbl 1056.22007) Full Text: DOI arXiv
Goodearl, Kenneth R.; Warfield, R. B. jun. An introduction to noncommutative Noetherian rings. 2nd ed. (English) Zbl 1101.16001 London Mathematical Society Student Texts 61. Cambridge: Cambridge University Press (ISBN 0-521-83687-5/hbk; 0-521-54537-4/pbk; 0-511-20834-0/e-book). xxiv, 344 p. £ 22.99, $ 34.99/pbk; £ 50.00, $ 85.00/hbk; $ 32.00/e-book (2004). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 16-02 16P40 16P50 16N60 16P60 16D25 16D70 16S30 16S32 16S34 16S35 16S36 16U10 16U20 16E10 16N20 17B35 PDFBibTeX XMLCite \textit{K. R. Goodearl} and \textit{R. B. Warfield jun.}, An introduction to noncommutative Noetherian rings. 2nd ed. Cambridge: Cambridge University Press (2004; Zbl 1101.16001)
Buchsbaum, David A. A characteristic-free example of a Lascoux resolution, and letter-place methods for intertwining numbers. (English) Zbl 1065.20056 Eur. J. Comb. 25, No. 8, 1169-1179 (2004). MSC: 20G05 13D25 20C30 PDFBibTeX XMLCite \textit{D. A. Buchsbaum}, Eur. J. Comb. 25, No. 8, 1169--1179 (2004; Zbl 1065.20056) Full Text: DOI
Esposito, Giampiero; Marmo, Giuseppe; Sudarshan, George From classical to quantum mechanics. An introduction to the formalism, foundations and applications. (English) Zbl 1086.81001 Cambridge: Cambridge University Press (ISBN 0-521-83324-8/hbk). xvi, 592 p. (2004). Reviewer: Bassano Vacchini (Milano) MSC: 81-01 81Qxx 70Hxx 81Rxx 53D05 81U99 PDFBibTeX XMLCite \textit{G. Esposito} et al., From classical to quantum mechanics. An introduction to the formalism, foundations and applications. Cambridge: Cambridge University Press (2004; Zbl 1086.81001) Full Text: DOI
Stembridge, John R. Explicit matrices for irreducible representations of Weyl groups. (English) Zbl 1071.20015 Represent. Theory 8, 267-289 (2004); erratum ibid. 10, 48 (2006). MSC: 20C40 20F55 20-04 PDFBibTeX XMLCite \textit{J. R. Stembridge}, Represent. Theory 8, 267--289 (2004; Zbl 1071.20015)
Marsh, R. J.; Rietsch, K. Parametrizations of flag varieties. (English) Zbl 1053.14057 Represent. Theory 8, 212-242 (2004). MSC: 14M15 20G20 14M17 14L17 PDFBibTeX XMLCite \textit{R. J. Marsh} and \textit{K. Rietsch}, Represent. Theory 8, 212--242 (2004; Zbl 1053.14057) Full Text: arXiv Backlinks: MO
Athanasiadis, Christos A. Generalized Catalan numbers, Weyl groups and arrangements of hyperplanes. (English) Zbl 1068.20038 Bull. Lond. Math. Soc. 36, No. 3, 294-302 (2004). Reviewer: Shi Jian-yi (Shanghai) MSC: 20F55 52C35 05A15 05E15 PDFBibTeX XMLCite \textit{C. A. Athanasiadis}, Bull. Lond. Math. Soc. 36, No. 3, 294--302 (2004; Zbl 1068.20038) Full Text: DOI
Bonnafé, Cédric Regular unipotent elements of Levi subgroups. (Éléments unipotents réguliers des sous-groupes de Levi.) (French) Zbl 1080.20037 Can. J. Math. 56, No. 2, 246-276 (2004). Reviewer: Anne-Marie Aubert (Paris) MSC: 20G05 20G40 PDFBibTeX XMLCite \textit{C. Bonnafé}, Can. J. Math. 56, No. 2, 246--276 (2004; Zbl 1080.20037) Full Text: DOI
Mokler, Claus Extending the Bruhat order and the length function from the Weyl group to the Weyl monoid. (English) Zbl 1128.22301 J. Algebra 275, No. 2, 815-855 (2004). MSC: 22E65 17B67 20F55 20M20 20G15 PDFBibTeX XMLCite \textit{C. Mokler}, J. Algebra 275, No. 2, 815--855 (2004; Zbl 1128.22301) Full Text: DOI arXiv
Jacon, Nicolas On the modular representations of Hecke algebras of type \(D_n\). (Sur les représentations modulaires des algèbres de Hecke de type \(D_n\).) (French) Zbl 1127.20003 J. Algebra 274, No. 2, 607-628 (2004). MSC: 20C08 20F55 20C20 PDFBibTeX XMLCite \textit{N. Jacon}, J. Algebra 274, No. 2, 607--628 (2004; Zbl 1127.20003) Full Text: DOI
Doty, Stephen; Erdmann, Karin; Henke, Anne A generic algebra associated to certain Hecke algebras. (English) Zbl 1072.20005 J. Algebra 278, No. 2, 502-531 (2004). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20C08 17B35 20C30 05E10 PDFBibTeX XMLCite \textit{S. Doty} et al., J. Algebra 278, No. 2, 502--531 (2004; Zbl 1072.20005) Full Text: DOI arXiv
Douglass, J. Matthew; Röhrle, Gerhard The geometry of generalized Steinberg varieties. (English) Zbl 1059.20044 Adv. Math. 187, No. 2, 396-416 (2004). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G15 20G05 17B45 PDFBibTeX XMLCite \textit{J. M. Douglass} and \textit{G. Röhrle}, Adv. Math. 187, No. 2, 396--416 (2004; Zbl 1059.20044) Full Text: DOI
Hanzer, Marcela \(R\) groups for quaternionic Hermitian groups. (English) Zbl 1056.22010 Glas. Mat., III. Ser. 39, No. 1, 31-48 (2004). Reviewer: Helge Glöckner (Darmstadt) MSC: 22E50 22E35 PDFBibTeX XMLCite \textit{M. Hanzer}, Glas. Mat., III. Ser. 39, No. 1, 31--48 (2004; Zbl 1056.22010) Full Text: DOI
Shi, Jian-Yi Yang-Baxter bases for Coxeter groups. (English) Zbl 1067.20052 J. Lond. Math. Soc., II. Ser. 69, No. 2, 349-362 (2004). Reviewer: Chen Chengdong (Shanghai) MSC: 20F55 06A07 05E15 20C07 20C08 20C30 PDFBibTeX XMLCite \textit{J.-Y. Shi}, J. Lond. Math. Soc., II. Ser. 69, No. 2, 349--362 (2004; Zbl 1067.20052) Full Text: DOI
Suter, Ruedi Abelian ideals in a Borel subalgebra of a complex simple Lie algebra. (English) Zbl 1112.17012 Invent. Math. 156, No. 1, 175-221 (2004). Reviewer: M. Pilar Benito Clavijo (Logroño) MSC: 17B20 20F55 PDFBibTeX XMLCite \textit{R. Suter}, Invent. Math. 156, No. 1, 175--221 (2004; Zbl 1112.17012) Full Text: DOI arXiv Link
Ellers, Erich W.; Gordeev, Nikolai Intersection of conjugacy classes with Bruhat cells in Chevalley groups. (English) Zbl 1062.20050 Pac. J. Math. 214, No. 2, 245-261 (2004). Reviewer: Ye Jiachen (Shanghai) MSC: 20G15 20E42 20E45 PDFBibTeX XMLCite \textit{E. W. Ellers} and \textit{N. Gordeev}, Pac. J. Math. 214, No. 2, 245--261 (2004; Zbl 1062.20050) Full Text: DOI
Liao, Ming Lévy processes and Fourier analysis on compact Lie groups. (English) Zbl 1054.60003 Ann. Probab. 32, No. 2, 1553-1573 (2004). Reviewer: Yasuhiro Asoo (Okayama) MSC: 60B15 PDFBibTeX XMLCite \textit{M. Liao}, Ann. Probab. 32, No. 2, 1553--1573 (2004; Zbl 1054.60003) Full Text: DOI arXiv
Aldroubi, Akram; Larson, David; Tang, Wai-Shing; Weber, Eric Geometric aspects of frame representations of abelian groups. (English) Zbl 1054.43008 Trans. Am. Math. Soc. 356, No. 12, 4767-4786 (2004). Reviewer: Alexander Lindner (München) MSC: 43A70 42C40 43A45 46N99 94A20 PDFBibTeX XMLCite \textit{A. Aldroubi} et al., Trans. Am. Math. Soc. 356, No. 12, 4767--4786 (2004; Zbl 1054.43008) Full Text: DOI arXiv
Zhang, Pu Skew differential operator algebras of twisted Hopf algebras. (English) Zbl 1063.16049 Adv. Math. 183, No. 1, 80-126 (2004). Reviewer: Goutam Mukherjee (Kolkata) MSC: 16W30 16S32 17B37 PDFBibTeX XMLCite \textit{P. Zhang}, Adv. Math. 183, No. 1, 80--126 (2004; Zbl 1063.16049) Full Text: DOI
Putcha, Mohan S. Möbius function on cross-section lattices. (English) Zbl 1054.20048 J. Comb. Theory, Ser. A 106, No. 2, 287-297 (2004). Reviewer: Huang Wenxue (Scarborough) MSC: 20M20 06A07 20G15 14L35 52B05 52B20 PDFBibTeX XMLCite \textit{M. S. Putcha}, J. Comb. Theory, Ser. A 106, No. 2, 287--297 (2004; Zbl 1054.20048) Full Text: DOI
Feinsilver, Philip; Kocik, Jerzy; Schott, René Representations of the Schrödinger algebra and Appell systems. (English) Zbl 1077.81047 Fortschr. Phys. 52, No. 4, 343-359 (2004). MSC: 81R05 81R10 17B81 60B99 81S25 PDFBibTeX XMLCite \textit{P. Feinsilver} et al., Fortschr. Phys. 52, No. 4, 343--359 (2004; Zbl 1077.81047) Full Text: DOI arXiv
Malle, Gunter; Sorlin, Karine Springer correspondence for disconnected groups. (English) Zbl 1055.20039 Math. Z. 246, No. 1-2, 291-319 (2004). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G05 20C33 20G15 20E45 PDFBibTeX XMLCite \textit{G. Malle} and \textit{K. Sorlin}, Math. Z. 246, No. 1--2, 291--319 (2004; Zbl 1055.20039) Full Text: DOI
Buffenoir, E.; Roche, Ph. An infinite product formula for \(U_ q(sl(2))\) dynamical coboundary element. (English) Zbl 1064.81075 J. Phys. A, Math. Gen. 37, No. 2, 337-346 (2004). Reviewer: Dražen Adamović (Zagreb) MSC: 17B37 81R12 81R50 PDFBibTeX XMLCite \textit{E. Buffenoir} and \textit{Ph. Roche}, J. Phys. A, Math. Gen. 37, No. 2, 337--346 (2004; Zbl 1064.81075) Full Text: DOI arXiv
Schiffmann, Olivier Quivers of type \(A\), flag varieties and representation theory. (English) Zbl 1134.16301 Dlab, Vlastimil (ed.) et al., Representations of finite dimensional algebras and related topics in Lie theory and geometry. Proceedings from the 10th international conference on algebras and related topics, ICRA X, Toronto, Canada, July 15–August 10, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3416-9/hbk). Fields Inst. Commun. 40, 453-479 (2004). MSC: 16G20 14M15 17B37 20C08 05E05 PDFBibTeX XMLCite \textit{O. Schiffmann}, Fields Inst. Commun. 40, 453--479 (2004; Zbl 1134.16301) Full Text: arXiv
Puchta, Mohan S. Bruhat-Renner decomposition and Hecke algebras of reductive monoids. (English) Zbl 1065.20076 Dlab, Vlastimil (ed.) et al., Representations of finite dimensional algebras and related topics in Lie theory and geometry. Proceedings from the 10th international conference on algebras and related topics, ICRA X, Toronto, Canada, July 15–August 10, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3416-9/hbk). Fields Inst. Commun. 40, 113-124 (2004). Reviewer: Huang Wenxue (Scarborough) MSC: 20M20 20C08 20G15 06A07 14L30 20M30 20C33 PDFBibTeX XMLCite \textit{M. S. Puchta}, Fields Inst. Commun. 40, 113--124 (2004; Zbl 1065.20076)
Chen, Chengdong; Liu, Jiachun On certain distinguished involutions in the Weyl group of type \(D_n\). (English) Zbl 1061.20036 J. Algebra 274, No. 1, 347-372 (2004). Reviewer: Shi Jian-yi (Shanghai) MSC: 20F55 20C08 20G05 05E15 PDFBibTeX XMLCite \textit{C. Chen} and \textit{J. Liu}, J. Algebra 274, No. 1, 347--372 (2004; Zbl 1061.20036) Full Text: DOI
Bonnafé, Cédric Actions of relative Weyl groups. I. (English) Zbl 1049.20026 J. Group Theory 7, No. 1, 1-37 (2004). Reviewer: Michael Wüstner (Darmstadt) MSC: 20G05 20G40 20G10 PDFBibTeX XMLCite \textit{C. Bonnafé}, J. Group Theory 7, No. 1, 1--37 (2004; Zbl 1049.20026) Full Text: DOI arXiv
Cliff, Gerald; Stokke, Anna Determining irreducible \(\text{GL}(n,K)\)-modules. (English) Zbl 1040.20035 Math. Proc. Camb. Philos. Soc. 136, No. 1, 119-137 (2004). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G05 20C20 05E10 PDFBibTeX XMLCite \textit{G. Cliff} and \textit{A. Stokke}, Math. Proc. Camb. Philos. Soc. 136, No. 1, 119--137 (2004; Zbl 1040.20035) Full Text: DOI
Müller, Werner Weyl’s law for the cuspidal spectrum of \(\mathrm{SL}_n\). (English. Abridged French version) Zbl 1062.11028 C. R., Math., Acad. Sci. Paris 338, No. 5, 347-352 (2004). Reviewer: Laurent Guillopé (Nantes) MSC: 11F72 58J50 11F12 22E45 PDFBibTeX XMLCite \textit{W. Müller}, C. R., Math., Acad. Sci. Paris 338, No. 5, 347--352 (2004; Zbl 1062.11028) Full Text: DOI arXiv
El Kaoutit, L.; Gómez-Torrecillas, J. On a class of iterated Ore extensions. (Sur une classe d’extensions de Ore itérées.) (French) Zbl 1060.16030 Bull. Sci. Math. 128, No. 1, 57-76 (2004). Reviewer: F. J. Lobillo (Granada) MSC: 16S36 16E05 16D25 16S38 16W35 PDFBibTeX XMLCite \textit{L. El Kaoutit} and \textit{J. Gómez-Torrecillas}, Bull. Sci. Math. 128, No. 1, 57--76 (2004; Zbl 1060.16030) Full Text: DOI
Halverson, Tom Representations of the \(q\)-rook monoid. (English) Zbl 1072.20006 J. Algebra 273, No. 1, 227-251 (2004). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20C08 17B37 20M20 20C30 05E10 20G40 PDFBibTeX XMLCite \textit{T. Halverson}, J. Algebra 273, No. 1, 227--251 (2004; Zbl 1072.20006) Full Text: DOI
Stokke, Anna A symplectic Désarménien matrix and a standard basis for the symplectic Weyl module. (English) Zbl 1147.20313 J. Algebra 272, No. 2, 512-529 (2004). MSC: 20G05 05E15 PDFBibTeX XMLCite \textit{A. Stokke}, J. Algebra 272, No. 2, 512--529 (2004; Zbl 1147.20313) Full Text: DOI
Richard, Lionel Hochschild homology and cohomology of some classical and quantum noncommutative polynomial algebras. (English) Zbl 1042.16005 J. Pure Appl. Algebra 187, No. 1-3, 255-294 (2004). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16E40 16W35 16S36 16S15 PDFBibTeX XMLCite \textit{L. Richard}, J. Pure Appl. Algebra 187, No. 1--3, 255--294 (2004; Zbl 1042.16005) Full Text: DOI arXiv
Sano, Mari A combinatorial description of the syzygies of certain Weyl modules. (English) Zbl 1042.20037 Commun. Algebra 31, No. 10, 5117-5167 (2003); errata and addenda ibid. 32, No. 12, 4835-4838 (2004). Reviewer: Chen Chengdong (Shanghai) MSC: 20G05 13D02 05E15 PDFBibTeX XMLCite \textit{M. Sano}, Commun. Algebra 31, No. 10, 5117--5167 (2004; Zbl 1042.20037) Full Text: DOI