Orbits of groups generated by transvections over F-2

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2005-06-01

Author

Seven, Ahmet İrfan

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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. n 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.

Subject Keywords

Algebra and Number Theory, Discrete Mathematics and Combinatorics

URI

https://hdl.handle.net/11511/35225

Journal

JOURNAL OF ALGEBRAIC COMBINATORICS

DOI

https://doi.org/10.1007/s10801-005-3021-1

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Department of Mathematics, Article

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Citation Formats

A. İ. Seven, “Orbits of groups generated by transvections over F-2,” JOURNAL OF ALGEBRAIC COMBINATORICS, pp. 449–474, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35225.