Quantum Chains of Hopf Algebras with Quantum Double Cosymmetry
✍ Scribed by Florian Nill; Kornél Szlachányi
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 432 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0010-3616
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📜 SIMILAR VOLUMES
Let A A be a Hopf algebra and ⌫ be a bicovariant first order differential calculus over A A. It is known that there are three possibilities to construct a differential Hopf algebra ⌫ n s ⌫ m rJ that contains ⌫ as its first order part. Corresponding to the three choices of the ideal J, we distinguish
We derive the equivalence of the complex quantum enveloping algebra and the algebra of complex quantum vector fields for the Lie algebra types A., B., C n, and D. by factorizing the vector fields uniquely into a triangular and a unitary part and identifying them with the corresponding elements of th
We propose the following principle to study pointed Hopf algebras, or more generally, Hopf algebras whose coradical is a Hopf subalgebra. Given such a Hopf algebra A, consider its coradical filtration and the associated graded coalgebra gr A. Then gr A is a graded Hopf algebra, since the coradical A