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

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

2007-07-10

arxiv.org/abs/0707.1389v1

Mathematics

Quantum Algebra

LaTeX2e, 21 pages

Scientific paper

It 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.

Affiliated with

Also associated with

No associations

Rating

The AS-Cohen-Macaulay property for quantum flag manifolds of minuscule weight does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The AS-Cohen-Macaulay property for quantum flag manifolds of minuscule weight, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The AS-Cohen-Macaulay property for quantum flag manifolds of minuscule weight will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-453486