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

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

1998-08-19

arxiv.org/abs/math/9808086v1

Mathematics

Quantum Algebra

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

Scientific paper

10.1023/A:1021644920161

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.

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