Two Exterior Algebras for Orthogonal and Symplectic Quantum Groups |
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Authors: | Axel Schüler |
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Institution: | (1) Department of Mathematics, University of Leipzig, Augustusplatz 10, 04109 Leipzig, Germany |
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Abstract: | Let be one of the N
2-dimensional bicovariant first-order differential calculi on the quantum groups O
q
(N) or Sp
q
(N), where q is not a root of unity. We show that the second antisymmetrizer exterior algebra
s
is the quotient of the universal exterior algebra
u
by the principal ideal generated by . Here denotes the unique up to scalars bi-invariant 1-form. Moreover, is central in
u
and
u
is an inner differential calculus. |
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Keywords: | bicovariant differential calculus exterior algebra quantum group |
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