Weyl modules, Demazure modules and finite crystals for non-simply laced type
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Publication:655365
DOI10.1016/J.AIM.2011.10.005zbMATH Open1305.17009arXiv1012.5480OpenAlexW2070157764MaRDI QIDQ655365
Author name not available (Why is that?)
Publication date: 4 January 2012
Published in: (Search for Journal in Brave)
Abstract: We show that every Weyl module for a current algebra has a filtration whose successive quotients are isomorphic to Demazure modules, and that the path model for a tensor product of level zero fundamental representations is isomorphic to a disjoint union of Demazure crystals. Moreover, we show that the Demazure modules appearing in these two objects coincide exactly. Though these results have been previously known in the simply laced case, they are new in the non-simply laced case.
Full work available at URL: https://arxiv.org/abs/1012.5480
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