The AS-Cohen-Macaulay property for quantum flag manifolds of minuscule weight

Simple item page
dc.creatorKolb, Stefan
dc.date2007-07-10
dc.date.accessioned2026-07-07T08:14:49Z
dc.date.available2026-07-07T08:14:49Z
dc.descriptionIt is shown that quantum homogeneous coordinate rings of generalised flag manifolds corresponding to minuscule weights, their Schubert varieties, big cells, and determinantal varieties are AS-Cohen-Macaulay. The main ingredient in the proof is the notion of a quantum graded algebra with a straightening law, introduced by T.H. Lenagan and L. Rigal [J. Algebra 301 (2006), 670-702]. Using Stanley's Theorem it is moreover shown that quantum generalised flag manifolds of minuscule weight and their big cells are AS-Gorenstein.
dc.descriptionLaTeX2e, 21 pages
dc.identifierhttps://arxiv.org/abs/0707.1389
dc.identifierhttp://arxiv.org/abs/0707.1389
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133265
dc.subjectQuantum Algebra
dc.subject16E65, 16W35, 20G42
dc.titleThe AS-Cohen-Macaulay property for quantum flag manifolds of minuscule weight
dc.typetext

Files

Collections

arXiv