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

I. Heckenberger; A. Schueler

doi:10.1023/A:1021644920161

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

Quantum Algebra 2009-10-31 v1

Authors: I. Heckenberger , A. Schueler

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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.

Keywords

exterior algebras quantum group O_q(3) bicovariant differential calculus hopf algebra antisymmetrizer left invariant form

Cite

@article{arxiv.math/9808086,
  title  = {Exterior Algebras Related to the Quantum Group O_q(3)$},
  author = {I. Heckenberger and A. Schueler},
  journal= {arXiv preprint arXiv:math/9808086},
  year   = {2009}
}

Comments

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

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

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