Flag manifolds over semifields
نویسندگان
چکیده
In this paper, we develop the theory of flag manifold over a semifield for any Kac-Moody root datum. We show that admits natural action monoid associated with datum and cellular decomposition. This extends previous work Lusztig, Postnikov, Rietsch others on totally nonnegative manifolds (of finite type) Speyer, Williams tropical type). As by-product, prove conjecture Lusztig duality type.
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2021
ISSN: ['1944-7833', '1937-0652']
DOI: https://doi.org/10.2140/ant.2021.15.2037