Schur’s double centralizer theorem for triangular hopf algebras

Miriam Cohen, Sara Estreich, Davida Fischman

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Let (H, R) be a triangular Hopf algebra and let V be a finitedimensional representation of H. Following Manin we imitate the standard algebraic constructions in order to define the relativized notions of R-universal enveloping algebras of R-Lie algebras and the.R-Lie algebra glR(V). Using Majid's "bosonization" theorem and the above we prove an R-analogue of Schur's double centralizer theorem.

Original languageEnglish
Pages (from-to)19-29
Number of pages11
JournalProceedings of the American Mathematical Society
Volume122
Issue number1
DOIs
StatePublished - 1 Jan 1994

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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