Cocycle Deformations of Coordinate Rings of Quantum Matrices
β Scribed by Mitsuhiro Takeuchi
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 149 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
A general conjecture is given for an explicit basis of the coordinate ring of the closure of the conjugacy class of a nilpotent matrix. This conjecture is proven when the partition given by the transpose Jordan type of the nilpotent matrix is a hook or has two parts.
## Abstract Given a basis ${\cal B} = \{f\_1,\ldots, f\_k\}$ for 2βcocycles $f:G \times G \rightarrow \{\pm 1\}$ over a group __G__ of order $\vert G\vert=4t$, we describe a nonlinear system of 4__t__β1 equations and __k__ indeterminates $x\_i$ over ${\cal Z}\_2, 1\leq i \leq k$, whose solutions de