Fomin, Sergey; Lusztig, George Coordinate rings and birational charts. (English) Zbl 1522.22006 Represent. Theory 26, 1-16 (2022). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E46 20G20 14M15 PDFBibTeX XMLCite \textit{S. Fomin} and \textit{G. Lusztig}, Represent. Theory 26, 1--16 (2022; Zbl 1522.22006) Full Text: DOI arXiv
Lusztig, George On conjugacy classes in the Lie group \(E_8\). (English) Zbl 1499.22018 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 1, 91-94 (2020). MSC: 22E10 17B25 PDFBibTeX XMLCite \textit{G. Lusztig}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 1, 91--94 (2020; Zbl 1499.22018) Full Text: arXiv
Lusztig, G. Positive structures in Lie theory. (English) Zbl 1481.22012 ICCM Not. 8, No. 1, 50-54 (2020). MSC: 22E46 15B48 20F40 PDFBibTeX XMLCite \textit{G. Lusztig}, ICCM Not. 8, No. 1, 50--54 (2020; Zbl 1481.22012) Full Text: DOI arXiv
Lusztig, George; Yun, Zhiwei \( \mathbb{Z}/m\)-graded Lie algebras and perverse sheaves. IV. (English) Zbl 1451.17011 Represent. Theory 24, 360-396 (2020). MSC: 17B70 22E60 PDFBibTeX XMLCite \textit{G. Lusztig} and \textit{Z. Yun}, Represent. Theory 24, 360--396 (2020; Zbl 1451.17011) Full Text: DOI arXiv
Lusztig, G. Remarks on affine Springer fibres. (English) Zbl 1481.17016 Bull. Inst. Math., Acad. Sin. (N.S.) 15, No. 1, 1-7 (2020). MSC: 17B20 22E60 20G05 PDFBibTeX XMLCite \textit{G. Lusztig}, Bull. Inst. Math., Acad. Sin. (N.S.) 15, No. 1, 1--7 (2020; Zbl 1481.17016) Full Text: DOI arXiv
Lusztig, G. Conjugacy classes in reductive groups and two-sided cells. (English) Zbl 1472.20107 Bull. Inst. Math., Acad. Sin. (N.S.) 14, No. 3, 265-293 (2019). MSC: 20G20 20G05 20E45 22E10 PDFBibTeX XMLCite \textit{G. Lusztig}, Bull. Inst. Math., Acad. Sin. (N.S.) 14, No. 3, 265--293 (2019; Zbl 1472.20107) Full Text: DOI arXiv
Lusztig, G. Unipotent almost characters of simple \(p\)-adic groups. (English. French summary) Zbl 1323.22007 Bost, Jean-Benoît (ed.) et al., De la géométrie algébrique aux formes automorphes (II). Une collection d’articles en l’honneur du soixantième anniversaire de Gérard Laumon. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-806-0/pbk). Astérisque 370, 243-267 (2015). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 20G15 PDFBibTeX XMLCite \textit{G. Lusztig}, Astérisque 370, 243--267 (2015; Zbl 1323.22007) Full Text: arXiv
Lusztig, G. Unipotent almost characters of simple \(p\)-adic groups: II. (English) Zbl 1300.22011 Transform. Groups 19, No. 2, 527-547 (2014). Reviewer: Shi Jian-yi (Shanghai) MSC: 22E50 20G15 PDFBibTeX XMLCite \textit{G. Lusztig}, Transform. Groups 19, No. 2, 527--547 (2014; Zbl 1300.22011) Full Text: DOI arXiv
Kim, Ju-Lee; Lusztig, George On the characters of unipotent representations of a semisimple \(p\)-adic group. (English) Zbl 1302.22012 Represent. Theory 17, 426-441 (2013). MSC: 22E50 20G05 PDFBibTeX XMLCite \textit{J.-L. Kim} and \textit{G. Lusztig}, Represent. Theory 17, 426--441 (2013; Zbl 1302.22012) Full Text: DOI arXiv
Kim, Ju-Lee; Lusztig, George On the Steinberg character of a semisimple \(p\)-adic group. (English) Zbl 1291.22018 Pac. J. Math. 265, No. 2, 499-509 (2013). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 22E50 20G99 11S99 PDFBibTeX XMLCite \textit{J.-L. Kim} and \textit{G. Lusztig}, Pac. J. Math. 265, No. 2, 499--509 (2013; Zbl 1291.22018) Full Text: DOI arXiv
Lusztig, G. Parabolic character sheaves. III. (English) Zbl 1229.20041 Mosc. Math. J. 10, No. 3, 603-609 (2010). MSC: 20G05 20G10 14L30 22E67 PDFBibTeX XMLCite \textit{G. Lusztig}, Mosc. Math. J. 10, No. 3, 603--609 (2010; Zbl 1229.20041) Full Text: arXiv Link
Lusztig, G. Twelve bridges from a reductive group to its Langlands dual. (English) Zbl 1169.20025 Lin, Zongzhu (ed.) et al., Representation theory. Fourth international conference on representation theory, Lhasa, China, July 16–20, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4555-4/pbk). Contemporary Mathematics 478, 125-143 (2009). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20G15 20G05 20G20 20G25 20G30 20G35 20G40 22E47 22E50 22E55 PDFBibTeX XMLCite \textit{G. Lusztig}, Contemp. Math. 478, 125--143 (2009; Zbl 1169.20025) Full Text: arXiv
Kumar, Shrawan; Lusztig, George; Prasad, Dipendra Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups. (English) Zbl 1160.20037 Lin, Zongzhu (ed.) et al., Representation theory. Fourth international conference on representation theory, Lhasa, China, July 16–20, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4555-4/pbk). Contemporary Mathematics 478, 99-101 (2009). MSC: 20G05 20G20 22E46 PDFBibTeX XMLCite \textit{S. Kumar} et al., Contemp. Math. 478, 99--101 (2009; Zbl 1160.20037) Full Text: arXiv
Lusztig, G. Homomorphisms of the alternating group \({\mathcal A}_5\) into reductive groups. (English) Zbl 1074.20030 J. Algebra 260, No. 1, 298-322 (2003). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20G05 20G15 20E36 20E07 22E40 20D06 PDFBibTeX XMLCite \textit{G. Lusztig}, J. Algebra 260, No. 1, 298--322 (2003; Zbl 1074.20030) Full Text: DOI arXiv
Lusztig, G. Classification of unipotent representations of simple \(p\)-adic groups. II. (English) Zbl 1016.22011 Represent. Theory 6, 243-289 (2002). Reviewer: Leonid Kurdachenko (Dnepropetrovsk) MSC: 22E50 20G25 PDFBibTeX XMLCite \textit{G. Lusztig}, Represent. Theory 6, 243--289 (2002; Zbl 1016.22011) Full Text: DOI arXiv
Lusztig, G. Cuspidal local systems and graded Hecke algebras. III. (English) Zbl 1031.22007 Represent. Theory 6, 202-242 (2002). Reviewer: Anton Deitmar (Exeter) MSC: 22E50 PDFBibTeX XMLCite \textit{G. Lusztig}, Represent. Theory 6, 202--242 (2002; Zbl 1031.22007) Full Text: DOI arXiv
Lusztig, G. A survey of group representations. (English) Zbl 1239.22001 Nieuw Arch. Wiskd., IV. Ser. 17, No. 3, 483-489 (1999). MSC: 22-01 PDFBibTeX XMLCite \textit{G. Lusztig}, Nieuw Arch. Wiskd., IV. Ser. 17, No. 3, 483--489 (2000; Zbl 1239.22001)
Fan, C. K.; Lusztig, G. Factorization of certain exponentials in Lie groups. (English) Zbl 0872.22004 Lehrer, Gus (ed.) et al., Algebraic groups and Lie groups. A volume of papers in honour of the late R. W. Richardson. Cambridge: Cambridge University Press. Aust. Math. Soc. Lect. Ser. 9, 215-218 (1997). Reviewer: J.Okniński (Warszawa) MSC: 22E10 20G20 PDFBibTeX XMLCite \textit{C. K. Fan} and \textit{G. Lusztig}, Aust. Math. Soc. Lect. Ser. 9, 215--218 (1997; Zbl 0872.22004)
Lusztig, George Cuspidal local systems and graded Hecke algebras. II. (English) Zbl 0841.22013 Allison, Bruce N. (ed.) et al., Representations of groups. Canadian Mathematical Society annual seminar, June 15-24, 1994, Banff, Alberta, Canada. Providence, RI: American Mathematical Society. CMS Conf. Proc. 16, 217-275 (1995). Reviewer: A.Deitmar (Heidelberg) MSC: 22E50 PDFBibTeX XMLCite \textit{G. Lusztig}, CMS Conf. Proc. 16, 217--275 (1995; Zbl 0841.22013)
Lusztig, George Monodromic systems on affine flag manifolds. (English) Zbl 0829.17018 Proc. R. Soc. Lond., Ser. A 445, No. 1923, 231-246 (1994). Reviewer: W.van der Kallen (Utrecht) MSC: 17B67 20G15 20C20 22E47 17B37 PDFBibTeX XMLCite \textit{G. Lusztig}, Proc. R. Soc. Lond., Ser. A 445, No. 1923, 231--246 (1994; Zbl 0829.17018) Full Text: DOI
Lusztig, G. Vanishing properties of cuspidal local systems. (English) Zbl 0859.20037 Proc. Natl. Acad. Sci. USA 91, No. 4, 1438-1439 (1994). MSC: 20G10 22E46 14M17 22E50 14L30 20G05 PDFBibTeX XMLCite \textit{G. Lusztig}, Proc. Natl. Acad. Sci. USA 91, No. 4, 1438--1439 (1994; Zbl 0859.20037) Full Text: DOI
Lusztig, George Intersection cohomology methods in representation theory. (English) Zbl 0749.14010 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. I, 155-174 (1991). Reviewer: A.Dimca (Sydney) MSC: 14F43 20G05 22E47 20G10 PDFBibTeX XMLCite \textit{G. Lusztig}, in: Proceedings of the international congress of mathematicians (ICM), August 21--29, 1990, Kyoto, Japan. Volume I. Tokyo etc.: Springer-Verlag. 155--174 (1991; Zbl 0749.14010)
Lusztig, George On quantum groups. (English) Zbl 0698.16007 J. Algebra 131, No. 2, 466-475 (1990). Reviewer: L.N.Vaserstein and E.R.Wheland MSC: 16W30 22E65 17B10 PDFBibTeX XMLCite \textit{G. Lusztig}, J. Algebra 131, No. 2, 466--475 (1990; Zbl 0698.16007) Full Text: DOI
Lusztig, George Finite dimensional Hopf algebras arising from quantized universal enveloping algebras. (English) Zbl 0695.16006 J. Am. Math. Soc. 3, No. 1, 257-296 (1990). Reviewer: E.Kryachko MSC: 16W30 17B35 20G05 17B20 22E65 PDFBibTeX XMLCite \textit{G. Lusztig}, J. Am. Math. Soc. 3, No. 1, 257--296 (1990; Zbl 0695.16006) Full Text: DOI
Lusztig, George Affine Hecke algebras and their graded version. (English) Zbl 0715.22020 J. Am. Math. Soc. 2, No. 3, 599-635 (1989). Reviewer: C.D.Keys MSC: 22E50 22E35 16W50 20G05 14G20 11F85 14F43 PDFBibTeX XMLCite \textit{G. Lusztig}, J. Am. Math. Soc. 2, No. 3, 599--635 (1989; Zbl 0715.22020) Full Text: DOI
Lusztig, George Representations of affine Hecke algebras. (English) Zbl 0699.22027 Orbites unipotentes et représentations. II: Groupes p-adiques et réels, Astérisque 171-172, 73-84 (1989). Reviewer: A.Deitmar MSC: 22E50 11F33 14G20 14C35 PDFBibTeX XML
Lusztig, George Cuspidal local systems and graded Hecke algebras. I. (English) Zbl 0699.22026 Publ. Math., Inst. Hautes Étud. Sci. 67, 145-202 (1988). Reviewer: A.Deitmar MSC: 22E50 14L30 20C07 14C35 PDFBibTeX XMLCite \textit{G. Lusztig}, Publ. Math., Inst. Hautes Étud. Sci. 67, 145--202 (1988; Zbl 0699.22026) Full Text: DOI Numdam EuDML
Kazhdan, David; Lusztig, George Fixed point varieties on affine flag manifolds. (English) Zbl 0658.22005 Isr. J. Math. 62, No. 2-3, 129-168 (1988). Reviewer: D.M.Snow MSC: 22E60 20G20 14L30 14M17 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{G. Lusztig}, Isr. J. Math. 62, No. 2--3, 129--168 (1988; Zbl 0658.22005) Full Text: DOI
de Concini, C.; Lusztig, George; Procesi, C. Homology of the zero-set of a nilpotent vector field on a flag manifold. (English) Zbl 0646.14034 J. Am. Math. Soc. 1, No. 1, 15-34 (1988). Reviewer: F.Kirwan MSC: 14M15 14F05 22E60 14L30 20G15 14L24 PDFBibTeX XMLCite \textit{C. de Concini} et al., J. Am. Math. Soc. 1, No. 1, 15--34 (1988; Zbl 0646.14034) Full Text: DOI
Kazhdan, David; Lusztig, George Proof of the Deligne-Langlands conjecture for Hecke algebras. (English) Zbl 0613.22004 Invent. Math. 87, 153-215 (1987). Reviewer: E.Abe MSC: 22E50 11F33 14G20 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{G. Lusztig}, Invent. Math. 87, 153--215 (1987; Zbl 0613.22004) Full Text: DOI EuDML Backlinks: MO
Kazhdan, David; Lusztig, George Equivariant K-theory and representations of Hecke algebras. II. (English) Zbl 0613.22003 Invent. Math. 80, 209-231 (1985). Reviewer: E.Abe MSC: 22E50 18F25 11F33 57S25 14G20 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{G. Lusztig}, Invent. Math. 80, 209--231 (1985; Zbl 0613.22003) Full Text: DOI EuDML
Lusztig, George Equivariant K-theory and representations of Hecke algebras. (English) Zbl 0571.22014 Proc. Am. Math. Soc. 94, 337-342 (1985). Reviewer: E.Abe MSC: 22E50 18F25 PDFBibTeX XMLCite \textit{G. Lusztig}, Proc. Am. Math. Soc. 94, 337--342 (1985; Zbl 0571.22014) Full Text: DOI
Hotta, Ryoshi (ed.) [Asai, Teruaki; Borho, Walter; Brylinski, Jean-Luc; MacPherson, Robert D.; De Concini, Corrado; Procesi, Claudio; Gyoja, Akihiko; Hotta, Ryoshi; Kashiwara, Masaki; Kato, Shin-ichi; Kawanaka, Noriaki; Lusztig, George; Shinoda, Ken-ichi; Shoji, Toshiaki; Spaltenstein, Nicolas; Springer, Tonny A.] Open problems in algebraic groups. Conference on algebraic groups and their representations, Katata, Japan, August 29 – September 3, 1983. Proceedings of the 12th Taniguchi international symposium. (English) Zbl 1497.00007 Sendai: Tohoku University. v, 20 p. (1983). MSC: 00A27 00B25 22-06 14-06 14Lxx 17B35 20Gxx PDFBibTeX XMLCite \textit{R. Hotta} (ed.), Open problems in algebraic groups. Conference on algebraic groups and their representations, Katata, Japan, August 29 -- September 3, 1983. Proceedings of the 12th Taniguchi international symposium. Sendai: Tohoku University (1983; Zbl 1497.00007)
Lusztig, George Singularities, character formulas, and a \(q\)-analog of weight multiplicities. (English) Zbl 0561.22013 Astérisque 101-102, 208-229 (1983). Reviewer: S.Prishchepionok MSC: 17B10 17B20 22E47 20C08 14M15 14C17 PDFBibTeX XML Backlinks: MO
Lusztig, George Some examples of square integrable representations of semisimple \(p\)-adic groups. (English) Zbl 0526.22015 Trans. Am. Math. Soc. 277, 623-653 (1983). MSC: 22E50 PDFBibTeX XMLCite \textit{G. Lusztig}, Trans. Am. Math. Soc. 277, 623--653 (1983; Zbl 0526.22015) Full Text: DOI
Kazhdan, David; Lusztig, George Representations of Coxeter groups and Hecke algebras. (English) Zbl 0499.20035 Invent. Math. 53, 165-184 (1979). Reviewer: Vinay V. Deodhar (M. R. 81j:20066) MSC: 20F55 20G05 20C08 17B35 20G15 22E47 14L30 PDFBibTeX XMLCite \textit{D. Kazhdan} and \textit{G. Lusztig}, Invent. Math. 53, 165--184 (1979; Zbl 0499.20035) Full Text: DOI EuDML
Lusztig, G. Some remarks on the supercuspidal representations of p-adic semisimple groups. (English) Zbl 0421.22009 Automorphic forms, representations and L-functions, Proc. Symp. Pure Math. Am. Math. Soc., Corvallis/Oregon 1977, Proc. Symp. Pure Math. 33, 1, 171-175 (1979). MSC: 22E50 20H30 14F20 PDFBibTeX XML