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Products of conjugacy classes in perfect linear groups. Extended covering numbers

โœ Scribed by N. L. Gordeev


Publisher
Springer US
Year
2006
Tongue
English
Weight
469 KB
Volume
136
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES


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โœ N.L. Gordeev ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1005 KB

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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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