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 ω u 1
✦ LIBER ✦
Classification of Bicovariant Differential Calculi on Quantum Groups (a Representation-Theoretic Approach)
✍ Scribed by Pierre Baumann; Frédéric Schmitt
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 253 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0010-3616
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Complete symmetry groups enable one to characterise fully a given differential equation. By considering the reversal of an approach based upon complete symmetry groups we construct new classes of differential equations which have the equations of Bateman, Monge-Ampère and Born-Infeld as special case