HeckeAlgebra

The Iwahori–Hecke algebra $H_n(q)$, the $q$-deformation of the group algebra of $S_n$, with basis HeckeT.

HeckeAlgebra(n, q)$H_n(q)$, the deformed group algebra of $S_n$

Typed signatures

Type	Package	Applies
(integer, number) -> hecke_algebra	hecke	always

Domain: Hecke algebras

Examples

Basic #

$4!$, as for $S_4$

live ↗

In$\mathrm{AlgebraDimension}(\mathrm{HeckeAlgebra}(4, q))$Out$24$

live ↗

In$\mathrm{Basis}(\mathrm{HeckeAlgebra}(2, q))$Out$\bigl\lbrack\mathrm{HeckeT}(\bigl\lbrack1, 2\bigr\rbrack, q), \mathrm{HeckeT}(\bigl\lbrack2, 1\bigr\rbrack, q)\bigr\rbrack$

About

Examples	2

See also: HeckeT, HeckeIdentity, HeckeSpecialize