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

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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.
LaTeX2e, 21 pages

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Quantum Algebra, 16E65, 16W35, 20G42

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http://salesiana.dossiersoluciones.com/handle/123456789/133265

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.1389
 http://arxiv.org/abs/0707.1389

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arXiv