Orbits of groups generated by transvections over $\FF_2$

dc.creatorSeven, Ahmet
dc.date2003-03-07
dc.date2003-12-06
dc.date.accessioned2026-07-07T04:55:52Z
dc.date.available2026-07-07T04:55:52Z
dc.descriptionLet 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.
dc.descriptionLaTeX, 23 pages, 25 figures. Substantial revision: new theorems and references added
dc.identifierhttps://arxiv.org/abs/math/0303098
dc.identifierhttp://arxiv.org/abs/math/0303098
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66731
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject20F55;05E15;14N10
dc.titleOrbits of groups generated by transvections over $\FF_2$
dc.typetext

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