HeckeIdentity

The identity element $T_e$ of $H_n(q)$, for writing products that start from one.

HeckeIdentity(n, q)$T_e$, the basis element of the identity permutation

Typed signatures

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

Domain: Hecke algebras

Examples

Basic #

$T_e$

live ↗

In$\mathrm{HeckeIdentity}(4, q)$Out$\mathrm{HeckeT}(\bigl\lbrack1, 2, 3, 4\bigr\rbrack, q)$

Times $T_{231}$ at $q=2$

live ↗

In$\mathrm{HeckeSpecialize}(\mathrm{NonCommutativeMultiply}(\mathrm{HeckeIdentity}(3, q), \mathrm{HeckeT}(\bigl\lbrack2, 3, 1\bigr\rbrack, q)), 2)$Out$\mathrm{HeckeT}(\bigl\lbrack2, 3, 1\bigr\rbrack, 2)$

About

Examples	2

See also: HeckeT, HeckeAlgebra