Presentation of rational Schur algebras

Research output: Contribution to journalArticlepeer-review

Abstract

We present rational Schur algebra S(n,r,s) over an arbitrary ground field K as a quotient of the distribution algebra Dist(G) of the general linear group G=GL(n) by an ideal I(n,r,s) and provide an explicit description of the generators of I(n,r,s). Over fields K of characteristic zero, this corrects and completes a presentation of S(n,r,s) in terms of generators and relations originally considered by Dipper and Doty. The explicit presentation over ground fields of positive characteristics appears here for the first time.

Original languageEnglish (US)
Pages (from-to)904-929
Number of pages26
JournalJournal of Algebra
Volume661
DOIs
StatePublished - Jan 1 2025

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Fingerprint

Dive into the research topics of 'Presentation of rational Schur algebras'. Together they form a unique fingerprint.

Cite this