The Drinfeld–Lusztig Double of a Group Algebra

Michel Broué
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Michel Broué: Université Paris Cité, CNRS, Institut de Mathématiques de Jussieu-Paris Rive Gauche

Chapter Chapter 18 in From Rings and Modules to Hopf Algebras, 2024, pp 485-523 from Springer

Abstract: Abstract The following definition is a particular case of a general construction due to Drinfeld [21], which applies to any Hopf k-algebra (see Section 18.3 below) and its k-dual. Here we only consider the particular case of the Hopf algebra kG (G a finite group) and its dual F(G, k). In a first part, we endow the algebra DkG := F(G, k) ⋊G with the structure of a k-algebra, which is due to Lusztig [36, §2].

Date: 2024
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DOI: 10.1007/978-3-031-50062-6_18

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