We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a "matrix problem." Such problems involve finding normal forms for matrices under a specified set of row and column operations. We solve the relevant matrix problem in sm
On conjugacy classes of maximal tori in classical groups
โ Scribed by Kazutoshi Kariyama
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 843 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0021-8693
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Here we consider algebraic varieties which are closures of products of conjugacy classes in algebraic groups. Estimates for the dimension of such varieties are obtained. Moreover, these estimates are used in some questions of the Invariant Theory. Also, the structure of the monoid generated by the s
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