Bicovariant differential calculus on quantum groups SUq(N) and SOq(N)

Ursula Carow-Watamura, Michael Schlieker, Satoshi Watamura, Wolfgang Weich

研究成果: Article査読

86 被引用数 (Scopus)

抄録

Following Woronowicz's proposal the bicovariant differential calculus on the quantum groups SUq(N) and SOq(N) is constructed. A systematic construction of bicovariant bimodules by using the {Mathematical expression} matrix is presented. The relation between the Hopf algebras generated by the linear functionals relating the left and right multiplication of these bicovariant bimodules, and the q-deformed universal enveloping algebras is given. Imposing the conditions of bicovariance and consistency with the quantum group structure the differential algebras and exterior derivatives are defined. As an application the Maurer-Cartan equations and the q-analogue of the structure constants are formulated.

本文言語English
ページ(範囲)605-641
ページ数37
ジャーナルCommunications in Mathematical Physics
142
3
DOI
出版ステータスPublished - 1991 12 1
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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