Let U be a quasitriangular Hopf algebra. One may use the R-matrix of U in order to construct scalar invariants of knots. Analogously, Reshetikhin wrote down tangle invariants which take their values in the center of U. Reshetikhin's expressions thus define central elements in U. We prove here an ide
The Center of the Quantized Matrix Algebra
โ Scribed by Hans Plesner Jakobsen; Hechun Zhang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 247 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
We compute the center in the case where q is a root of unity. The main steps are to compute the degree of an associated quasipolynomial algebra and to compute the dimensions of some interesting irreducible modules.
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