Complex quantum group, dual algebra and bicovariant differential calculus

Ursula Carow-Watamura; Satoshi Watamura

doi:10.1007/BF02097024

Complex quantum group, dual algebra and bicovariant differential calculus

Ursula Carow-Watamura, Satoshi Watamura

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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 Fun_q(SL(N, C)) is defined by requiring that it contains Fun_q(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 Fun_q(SU(N))⊗Fun_q(SU(N))_reg^*. Then the bicovariant differential calculi on the complex quantum group are constructed.

Original language	English
Pages (from-to)	487-514
Number of pages	28
Journal	Communications in Mathematical Physics
Volume	151
Issue number	3
DOIs	https://doi.org/10.1007/BF02097024
Publication status	Published - 1993 Feb
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02097024

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Complex quantum group, dual algebra and bicovariant differential calculus

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