Two Exterior Algebras for orthogonal and symplectic Quantum Groups
Quantum Algebra
2007-05-23 v1
Abstract
Let \Gamma be one of the N^2-dimensional bicovariant first order differential calculi on the orthogonal or symplectic quantum group O_q(N) or Sp_q(N). The parameter q is not a root of unity. We show that the second antisymmetrizer exterior algebra is the quotient of the universal exterior algebra U by the principal ideal generated by w^2. Here w denotes the unique up to scalars bi-invariant 1-form. Moreover w^2 is central in U and U is an inner differential calculus.
Cite
@article{arxiv.math/9906044,
title = {Two Exterior Algebras for orthogonal and symplectic Quantum Groups},
author = {Axel Schueler},
journal= {arXiv preprint arXiv:math/9906044},
year = {2007}
}
Comments
20 pages, 10 figures, uses bbm, amsmath, mathrsfs