Unipotent Hecke algebras of GL_n(F_q)
| dc.creator | Thiem, N. | |
| dc.date | 2004-02-24 | |
| dc.date.accessioned | 2026-07-07T05:05:40Z | |
| dc.date.available | 2026-07-07T05:05:40Z | |
| dc.description | This paper describes a family of Hecke algebras H_μ=End_G(Ind_U^G(ψ_μ)), where U is the subgroup of unipotent upper-triangular matrices of G=GL_n(F_q) and ψ_μis a linear character of U. The main results combinatorially index a basis of H_μ, provide a large commutative subalgebra of H_μ, and after describing the combinatorics associated with the representation theory of H_μ, generalize the RSK correspondence that is typically found in the representation theory of the symmetric group. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402383 | |
| dc.identifier | http://arxiv.org/abs/math/0402383 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70255 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.subject | 20C08 (primary) 05E10 (secondary) | |
| dc.title | Unipotent Hecke algebras of GL_n(F_q) | |
| dc.type | text |