Orbits of groups generated by transvections over F-2

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Seven A. İ.

JOURNAL OF ALGEBRAIC COMBINATORICS, cilt.21, sa.4, ss.449-474, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 4
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s10801-005-3021-1
  • Dergi Adı: JOURNAL OF ALGEBRAIC COMBINATORICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.449-474
  • Anahtar Kelimeler: transvections, real double Bruhat cells, DOUBLE BRUHAT CELLS, LIE-ALGEBRAS, GRAPHS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.