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An Algebraic Cell Decomposition of the Nonnegative Part of a Flag Variety

โœ Scribed by Konstanze Rietsch

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
101 KB
Volume
213
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We study the nonnegative part B B of the flag variety B B of a reductive G 0 algebraic group, as defined by Lusztig. Using positivity properties of the canonical basis it is shown that B B has an algebraic cell decomposition indexed by pairs of G 0 elements w F wะˆ of the Weyl group. This result was conjectured by G.

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