Maximal ideals and representations of twisted forms of algebras
Representation Theory
2013-08-21 v1 Rings and Algebras
Abstract
Given a central simple algebra and a Galois extension of base rings , we show that the maximal ideals of twisted -forms of the algebra of currents are in natural bijection with the maximal ideals of . When is a Lie algebra, we use this to give a complete classification of the finite-dimensional simple modules over twisted forms of .
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Cite
@article{arxiv.1308.4175,
title = {Maximal ideals and representations of twisted forms of algebras},
author = {Michael Lau and Arturo Pianzola},
journal= {arXiv preprint arXiv:1308.4175},
year = {2013}
}
Comments
18 pages