Orbits of groups generated by transvections over $\FF_2$

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Let V be a finite dimensional vector space over the two element field. We compute orbits for the linear action of groups generated by transvections with respect to a certain class of bilinear forms on V. In particular, we compute orbits that are in bijection with connected components of real double Bruhat cells in semisimple groups, extending results of M.Gekhtman, B. Shapiro, M. Shapiro, A.Vainshtein and A. Zelevinsky.
LaTeX, 23 pages, 25 figures. Substantial revision: new theorems and references added

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Algebraic Geometry, Combinatorics, 20F55;05E15;14N10

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http://salesiana.dossiersoluciones.com/handle/123456789/66731

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303098
 http://arxiv.org/abs/math/0303098

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arXiv