Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension

Stephen Donkin; Haralampos Geranios

doi:10.1007/s10468-013-9412-4

Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension

Stephen Donkin, Haralampos Geranios

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the representation dimension, for fixed n ≥ 2, of ordinary and quantised Schur algebras S(n, r) over a field k. For k of positive characteristic p we give a lower bound valid for all p. We also give an upper bound in the quantum case, when k has characteristic 0.

Original language	English
Pages (from-to)	623-642
Number of pages	20
Journal	Algebras and Representation Theory
Volume	17
Issue number	2
Early online date	24 Mar 2013
DOIs	https://doi.org/10.1007/s10468-013-9412-4
Publication status	Published - Apr 2014

Keywords

Schur algebra
Algebraic group
Representation dimension
Infinitesimal subgroup

Access to Document

10.1007/s10468-013-9412-4

Cite this

@article{478c8dd237fa4e1baaa8b4a7328e01d7,

title = "Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension",

abstract = "We consider the representation dimension, for fixed n ≥ 2, of ordinary and quantised Schur algebras S(n, r) over a field k. For k of positive characteristic p we give a lower bound valid for all p. We also give an upper bound in the quantum case, when k has characteristic 0.",

keywords = "Schur algebra, Algebraic group, Representation dimension, Infinitesimal subgroup",

author = "Stephen Donkin and Haralampos Geranios",

year = "2014",

month = apr,

doi = "10.1007/s10468-013-9412-4",

language = "English",

volume = "17",

pages = "623--642",

journal = "Algebras and Representation Theory",

issn = "1572-9079",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension

AU - Donkin, Stephen

AU - Geranios, Haralampos

PY - 2014/4

Y1 - 2014/4

N2 - We consider the representation dimension, for fixed n ≥ 2, of ordinary and quantised Schur algebras S(n, r) over a field k. For k of positive characteristic p we give a lower bound valid for all p. We also give an upper bound in the quantum case, when k has characteristic 0.

AB - We consider the representation dimension, for fixed n ≥ 2, of ordinary and quantised Schur algebras S(n, r) over a field k. For k of positive characteristic p we give a lower bound valid for all p. We also give an upper bound in the quantum case, when k has characteristic 0.

KW - Schur algebra

KW - Algebraic group

KW - Representation dimension

KW - Infinitesimal subgroup

U2 - 10.1007/s10468-013-9412-4

DO - 10.1007/s10468-013-9412-4

M3 - Article

SN - 1572-9079

VL - 17

SP - 623

EP - 642

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 2

ER -