Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493396 | Journal of Algebra | 2005 | 19 Pages |
Abstract
This paper describes a family of Hecke algebras Hμ=EndG(IndUG(Ïμ)), where U is the subgroup of unipotent upper-triangular matrices of G=GLn(Fq) and Ïμ is a linear character of U. The main results combinatorially index a basis of Hμ, provide a large commutative subalgebra of Hμ, and after describing the combinatorics associated with the representation theory of Hμ, generalize the RSK correspondence that is typically found in the representation theory of the symmetric group.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Nathaniel Thiem,