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 |
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ページ(範囲) | 605-641 |
ページ数 | 37 |
ジャーナル | Communications in Mathematical Physics |
巻 | 142 |
号 | 3 |
DOI | |
出版ステータス | Published - 1991 12月 1 |
外部発表 | はい |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 数理物理学