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Quantum double and differential calculi

✍ Scribed by F. Bonechi; R. Giachetti; R. Maciocco; E. Sorace; M. Tarlini


Publisher
Springer
Year
1996
Tongue
English
Weight
573 KB
Volume
37
Category
Article
ISSN
0377-9017

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We study some aspects of the theory of non-commutative differential calculi over complex algebras, especially over the Hopf algebras associated to compact quantum groups in the sense of S.L. Woronowicz. Our principal emphasis is on the theory of twisted graded traces and their associated twisted cyc

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For transcendental values of q the quantum tangent spaces of all left-covariant first order differential calculi of dimension less than four on the quantum group SL q 2 are given. All such differential calculi are determined and investigated for which the left-invariant differential one-forms Ο‰ u 1