Dual pairs of quantum moment maps and doubles of Hopf algebras

Gus Schrader, Alexander Shapiro

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

For any finite-dimensional Hopf algebra A there exists a natural associative algebra homomorphism D(A)→H(A) between its Drinfeld double D(A) and its Heisenberg double H(A). We construct this homomorphism using a pair of commuting quantum moment maps, and then use it to provide a homomorphism of certain reflection equation algebras. We also explain how the quantization of the Grothendieck-Springer resolution arises in this context.
Original languageEnglish
Pages (from-to)74-89
Number of pages13
JournalJournal of Algebra
Volume492
Early online date5 Sept 2017
DOIs
Publication statusPublished - 15 Dec 2017

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