Complex quantum group, dual algebra and bicovariant differential calculus

Ursula Carow-Watamura, Satoshi Watamura

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


The method used to construct the bicovariant bimodule in ref. [CSWW] is applied to examine the structure of the dual algebra and the bicovariant differential calculus of the complex quantum group. The complex quantum group Funq(SL(N, C)) is defined by requiring that it contains Funq(SU(N)) as a subalgebra analogously to the quantum Lorentz group. Analyzing the properties of the fundamental bimodule, we show that the dual algebra has the structure of the twisted product Funq(SU(N))⊗Funq(SU(N))reg*. Then the bicovariant differential calculi on the complex quantum group are constructed.

Original languageEnglish
Pages (from-to)487-514
Number of pages28
JournalCommunications in Mathematical Physics
Issue number3
Publication statusPublished - 1993 Feb
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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