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Newton-Okounkov polytopes of flag varieties for classical groups by Kiritchenko, Valentina is a scholarly article available to read on EtoBox.

What is Newton-Okounkov polytopes of flag varieties for classical groups about?

For classical groups SL(n), SO(n) and Sp(2n), we define uniformly geometric valuations on the corresponding complete flag varieties. The valuation in every type comes from a natural coordinate system on the open Schubert cell and is combinatorially related to the Gelfand-Zetlin pattern in the same type. In types A and C, we identify the corresponding Newton-Okounkov polytopes with the Feigin-Fourier-Littelmann-Vinberg polytopes. In types B and D, we compute low-dimensional examples and formulate open questions.

Author

Kiritchenko, Valentina

Published

2019

Language

EN