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
The hopf algebra of vector fields on complex quantum groups
✍ Scribed by Bernhard Drabant; Branislav Jurčo; Michael Schlieker; Wolfgang Weich; Bruno Zumino
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 200 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
✦ Synopsis
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 the algebra of regular functionals.
📜 SIMILAR VOLUMES
Let ᒄ be the Lie algebra of vector fields on an affine smooth curve ⌺. Our goal is to establish an orbit method for ᒄ. Since ᒄ is infinite-dimensional, we face some technical problems. Without having groups acting on ᒄ, we try nevertheless to define the notion of ''orbits.'' So, we focus our attenti