A quantum Witt construction
type: Item
instance of: scholarly article
title: A quantum Witt construction
zbMATH Open document ID: 0913.17007
published in: Journal of Algebra
publication date: 1999-06-06T00:00:00Z
review text: A procedure due to Witt allows to construct a new Lie algebra starting from a semisimple Lie algebra \(\mathfrak h\) and an \(\mathfrak h\)-module \(M\) provided with a symmetric \(\mathfrak h\)-invariant nondegenerate bilinear form. In this interesting paper, the author establishes an analogous construction for Hopf algebras. Several applications to quantum (super)groups are investigated; for instance, alternative descriptions of \(U_q(\mathfrak g)\) are given, where \(\mathfrak g\) is a simple Lie algebra of either classical or \(E_8\) type.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 16W30
zbMATH DE Number: 1218711
zbMATH Keywords: Hopf algebras
zbMATH Keywords: quantum groups
zbMATH Keywords: quantum double
author: Keith C. Hannabuss
reviewed by: Nicolás Andruskiewitsch
MaRDI profile type: Publication
full work available at URL: jabr.1997.7374
OpenAlex ID: W2023577061
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DOI: 10.1006/JABR.1997.7374
description: scientific article; zbMATH DE number 1218711