A remark on the Hochschild dimension of liberated quantum groups

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Tomasz Brzeziński - , Swansea University, University of Białystok (Author)
  • Ulrich Krähmer - , Chair of Geometric Methods in Mathematics (Author)
  • Réamonn Ó Buachalla - , Charles University Prague (Author)
  • Karen Strung - , Czech Academy of Sciences (Author)

Abstract

Let A be a Hopf algebra equipped with a projection onto the coordinate Hopf algebra O(G) of a semisimple algebraic group G. It is shown that if A admits a suitably non-degenerate comodule V and the induced G-module structure of V is non-trivial, then the third Hochschild homology group of A is non-trivial.

Details

Original languageEnglish
Pages (from-to)647-656
Number of pages10
JournalJournal of Noncommutative Geometry
Volume19
Issue number2
Early online date22 May 2024
Publication statusPublished - 3 Apr 2025
Peer-reviewedYes

External IDs

ORCID /0000-0002-5350-6932/work/180371879
unpaywall 10.4171/jncg/572
Scopus 105001974178

Keywords

Keywords

  • quantum groups, noncommutative geometry, Hochschild cohomology, Hopf algebras

Library keywords