On l-parabolic Hecke algebras of symmetric groups

Abstract

Let $H=H_q(n)$ be the Hecke algebra of the symmetric group of degree n, over a field of arbitrary characteristic, and where q is a primitive l-th root of unity in $K$. Let $H_{\rho }$ be an l-parabolic subalgebra of $H$. We give an elementary explicit construction for the basic algebra of a non-simple block of $H_{\rho }$. We also discuss homological properties of $H_{\rho }$-modules, in particular existence of varieties for modules, and some consequences.

Corrected version, 18 pages

References in corpus (1)

• Support varieties for selfinjective algebras