Representations of Coxeter groups and Hecke algebras

Keywords

Coxeter group, Mathematics, Coxeter complex, Coxeter element, Point group

References

• Möbius inversion for the Bruhat ordering on a Weyl groupDaya-Nand Verma — 1971
• A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebraDavid A. Vogan — 1979
• Corrections and additions to: “On the degrees and rationality of certain characters of finite Chevalley groups” (Trans. Amer. Math. Soc. 165 (1972), 251–273) by C. T. Benson and CurtisC. W. Curtis — 1975
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairsC. W. Curtis, N. Iwahori, Robert W. Kilmoyer — 1971
• On the degrees and rationality of certain characters of finite Chevalley groupsClark T. Benson, C. W. Curtis — 1972
• Ordering of the primitive spectrum of a semisimple Lie algebraDavid A. Vogan — 1980
• Irreducible characters of semisimple Lie groups II. The Kazhdan-Lusztig conjecturesDavid A. Vogan — 1979
• A class of irreducible representations of a Weyl groupG. Lusztig — 1979
• The Art of Computer ProgrammingDonald E. Knuth — 1968
• Moduln mit einem höchsten GewichtJens Carsten Jantzen — 1979
• W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebraA. Joseph — 1979
• A characteristic variety for the primitive spectrum of a semisimple lie algebraA. Joseph — 1977

Cited by

• On Permutation Statistics and Hecke Algebra CharactersYuval Roichman — 2000
• Left cells and domino tableaux in classical Weyl groupsWilliam M. McGovern — 1996
• Explicit Formulae for Some Kazhdan-Lusztig PolynomialsFrancesco Brenti, Rodica Simion — 2000
• The cluster and dual canonical bases ofBrendon Rhoades — 2010
• PROJECTIVE MODULES IN THE CATEGORY dSLoewy Series, Ronald S. Irving — 2016
• Towards the Kazhdan-Lusztig conjectureOfer Gabber, Anjali Joseph — 1981
• Foundations of categorified representation theoryAlexander E. Hoffnung — 2010
• Représentations modulaires des algèbres de Hecke et des algèbres de Ariki-KoikeNicolas Jacon — 2004
• The socle filtration of a Verma moduleRonald S. Irving — 1988
• The Geometry and Topology of Coxeter GroupsMichael W. Davis — 2025
• Filtrations on generalized Verma modules for Hermitian symmetric pairs.David Collingwood, Ronald S. Irving — 1988
• A Kato-Lusztig formula for nonsymmetric Macdonald polynomialsBogdan Ion — 2004
• Kazhdan-Lusztig Conjecture for Kac-Moody Lie Algebras(WORKSHOP ON ALGEBRAIC GROUPS AND RELATED TOPICS)Toshiyuki Tanisaki — 1990
• Relative Springer isomorphisms and the conjugacy classes in Sylow p-subgroups of Chevalley groupsSimon M. Goodwin — 2005
• Deformations of Coxeter hyperplane arrangements and their characteristic polynomialsChristos A. Athanasiadis — 2000
• Cells andq-Schur algebrasJie Du, Brian Parshall, Leonard L. Scott — 1998
• Some multiplication formulas in an affine Hecke algebraLiping Wang — 2010
• Deodhar Elements in Kazhdan-Lusztig TheoryBrant Jones — 2008
• A generalization of Kazhdan and Lusztig's R-polynomialsJustin Lambright — 2011
• On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formulaOfer Gabber, Anjali Joseph — 1981

Related papers

• The low-dimensional homology of finite-rank Coxeter groupsRachael Boyd — 2018
• Some combinatorial models for reduced expressions in Coxeter groupsHugh Denoncourt — 2011
• Geometric representations of Coxeter groups with respect to asymmetric bilinear formsRobert G. Donnelly — 2007
• Reflection triangles in Coxeter groups and biautomaticityPierre‐Emmanuel Caprace, Bernhard Mühlherr — 2005
• A q-Analog of the Coxeter ComplexAndrew Mathas — 1994
• PyCox: computing with (finite) Coxeter groups and Iwahori-Hecke algebrasMeinolf Geck — 2012
• Characters of Finite Coxeter Groups and Iwahori-Hecke AlgebrasMeinolf Geck, Golz Pfeiffer — 2000
• Combinatorial properties of the Temperley–Lieb algebra of a Coxeter groupAlfonso Pesiri — 2013