Integral bases for the universal enveloping algebras of map algebras
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Publication:371406
DOI10.1016/J.JALGEBRA.2012.11.046zbMATH Open1293.17013arXiv1107.1249OpenAlexW2005875115MaRDI QIDQ371406
Author name not available (Why is that?)
Publication date: 9 October 2013
Published in: (Search for Journal in Brave)
Abstract: Given a finite-dimensional, complex simple Lie algebra we exhibit an integral form for the universal enveloping algebra of its map algebra, and an explicit integral basis for this integral form. We also produce explicit commutation formulas in the universal enveloping algebras of the map algebras of sl_2 that allow us to write certain elements in Poincare-Birkhoff-Witt order.
Full work available at URL: https://arxiv.org/abs/1107.1249
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