Differential calculus on the inhomogeneous quantum groups IGLq(n)
β Scribed by Leonardo Castellani
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 296 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0377-9017
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π SIMILAR VOLUMES
The universal enveloping algebra U(G) of a Lie algebra G acts on its representation ring R through D(R), the ring of differential operators on R. A quantised universal enveloping algebra (or quantum group) is a deformation of a universal enveloping algebra and acts not through the differential opera
We show that a quantum super matrix in standard format is invertible if and only if its block matrices of even entries are invertible. We prove the q-analog of the well-known formula for the Berezinian.
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