On the equations defining affine algebraic groups

Vladimir L. Popov

Vol. 279 (2015), No. 1-2, 423–446

DOI: 10.2140/pjm.2015.279.423

Abstract

For the coordinate algebras of connected affine algebraic groups, we explore the problem of finding a presentation by generators and relations canonically determined by the group structure.

In memory of Robert Steinberg

Keywords

reductive algebraic group, Borel subgroup, weight, module, orbit

Mathematical Subject Classification 2010

Primary: 14L10

Secondary: 20G05

Milestones

Received: 28 May 2015

Revised: 11 August 2015

Accepted: 11 August 2015

Published: 21 December 2015