A categorical approach to quantum moment maps

Pavel Safronov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce quantum versions of Manin pairs and Manin triples and de-fine quantum moment maps in this context. This provides a framework that incorporates quantum moment maps for actions of Lie algebras and quantum groups for any quantum parameter. We also show how our quantum moment maps degenerate to known classical versions of moment maps and describe their fusion.

Original languageEnglish
Article number24
Pages (from-to)818-862
Number of pages45
JournalTheory and Applications of Categories
Volume37
Publication statusPublished - 22 Jun 2021

Keywords / Materials (for Non-textual outputs)

  • Manin triples
  • Moment maps
  • Quantum groups

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