Exterior Algebras Related to the Quantum Group O_q(3)$

I. Heckenberger; A. Schueler

doi:10.1023/A:1021644920161

paper

Exterior Algebras Related to the Quantum Group O_q(3)$

arXiv:math/9808086 · doi:10.1023/A:1021644920161

Abstract

For the 9-dimensional bicovariant differential calculi on the Hopf algebra $O (O_{q} (3))$ several kinds of exterior algebras are examined. The corresponding dimensions, bicovariant subbimodules and eigenvalues of the antisymmetrizer are given. Exactly one of the exterior algebras studied by the authors has a unique left invariant form with maximal degree.

10 pages, LaTeX209, presented at the 7th Colloquium "Quantum Groups and Integrable Systems", Prague, June 1998

References in corpus (1)

Higher Order Differential Calculus on $S L_{q} (N)$