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- W2988326215 abstract "The main object in this paper is a certain rational convex polytope whose lattice points give a polyhedral realization of a highest weight crystal basis. This is also identical to a Newton-Okounkov body of a flag variety, and it gives a toric degeneration. In this paper, we prove that a specific class of this polytope is given by Kiritchenko's Demazure operators on polytopes. This implies that polytopes in this class are all lattice polytopes. As an application, we give a sufficient condition for the corresponding toric variety to be Gorenstein Fano." @default.
- W2988326215 created "2019-11-22" @default.
- W2988326215 creator A5028417997 @default.
- W2988326215 date "2019-11-13" @default.
- W2988326215 modified "2023-10-03" @default.
- W2988326215 title "Polyhedral realizations of crystal bases and convex-geometric Demazure operators" @default.
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- W2988326215 doi "https://doi.org/10.1007/s00029-019-0522-7" @default.
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