The Toda flows preserving small cells of the flag variety G / B and Kazhdan's x0-grading

研究成果: Article

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There exist many works on full Kostant-Toda flows whose initial points belong to a grand cell of the flag variety. In this paper we study the full Kostant-Toda flows whose initial points belong to small cells other than the grand cell and preserving small cells. To obtain such flows, we consider the cell decomposition of the grand cell induced by Bruhat decomposition of the flag variety. We show that such full Kostant-Toda flow can be reduced to the ordinary tridiagonal Toda flow by using sheaf theoretical methods.

元の言語English
ページ(範囲)799-813
ページ数15
ジャーナルJournal of Geometry and Physics
57
発行部数3
DOI
出版物ステータスPublished - 2007 2 1

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

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