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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 386, Pages 203–226
(Mi znsl3912)
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This article is cited in 2 scientific papers (total in 2 papers)
Big and small elements in Chevalley groups
N. L. Gordeeva, E. W. Ellersb a Russian State Pedagogical University, St. Petersburg, Russia
b Department of Mathematics, University of Toronto, Toronto, Ontario, Canada
Abstract:
Let $\widetilde G$ be a reductive algebraic group which is defined and split over a field $K$. Here we consider the Zariski open subset $\mathfrak B$ of the group $\widetilde G$ which consists of elements such that their conjugacy classes intersect the Big Bruhat Cell. In particular, we give a description of the set $\mathfrak B(K)$ in the case $\widetilde G=\mathrm{GL}_n,\mathrm{SL}_n$. Bibl. 16 titles.
Key words and phrases:
reductive algebraic group, Chevalley group, conjugacy class, Big Bruhat Cell.
Received: 09.11.2010
Citation:
N. L. Gordeev, E. W. Ellers, “Big and small elements in Chevalley groups”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 203–226; J. Math. Sci. (N. Y.), 180:3 (2012), 315–329
Linking options:
https://www.mathnet.ru/eng/znsl3912 https://www.mathnet.ru/eng/znsl/v386/p203
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Statistics & downloads: |
Abstract page: | 177 | Full-text PDF : | 80 | References: | 42 |
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