A remark on the Hochschild dimension of liberated quantum groups

  • Tomasz Brzeziński

    Swansea University, Swansea, UK; University of Białystok, Białys­tok, Poland
  • Ulrich Krähmer

    Technische Universität Dresden, Dresden, Germany
  • Réamonn Ó Buachalla

    Charles University, Prague, Czech Republic
  • Karen R. Strung

    Czech Academy of Sciences, Prague, Czech Republic
A remark on the Hochschild dimension of liberated quantum groups cover
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Abstract

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

Cite this article

Tomasz Brzeziński, Ulrich Krähmer, Réamonn Ó Buachalla, Karen R. Strung, A remark on the Hochschild dimension of liberated quantum groups. J. Noncommut. Geom. (2024), published online first

DOI 10.4171/JNCG/572