THE SYMMETRIC GROUP REPRESENTATION ON COHOMOLOGY OF THE REGULAR ELEMENTS OF A MAXIMAL TORUS OF THE SPECIAL LINEAR GROUP

DOI10.1017/S1446788708000074zbMath1155.05061arXivmath/0312006OpenAlexW2037642810MaRDI QIDQ3509974

Anthony Henderson

Publication date: 25 June 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312006

zbMATH Keywords

charactercohomologyrepresentationsymmetric group

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Cohomology of groups (20J06) Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (2)

Bases for certain cohomology representations of the symmetric group. ⋮ A curious identity and the volume of the root spherical simplex. With an appendix by John R. Stembridge.

Cites Work

• Unnamed Item
• The characters of the wreath product group acting on the homology groups of the Dowling lattices
• The number of regular semisimple elements for Chevalley groups of classical type
• Poincaré polynomials for unitary reflection groups
• Bases for certain cohomology representations of the symmetric group.
• Cohomology Actions and Centralisers in Unitary Reflection Groups
• On the Poincaré Series Associated with Coxeter Group Actions on Complements of Hyperplanes

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