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Higher Conjugations and the Yang–Baxter Equation

✍ Scribed by Sarah Whitehouse

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
113 KB
Volume
251
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let H be a Hopf algebra with invertible antipode. Two different actions of the braid group B n on H ⊗n are described. These are representations of the braid group associated to solutions of the Yang-Baxter equation. By passing to a submodule for one action and to a quotient module for the other, we obtain two actions of B n on H ⊗n-1 . In this way we recover the actions described by the author in [Comm. Algebra 29 (2001) 3351-3363] that arise naturally in stable homotopy theory.  2002 Elsevier Science (USA)

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