Newton-Okounkov convex bodies of Schubert varieties and polyhedral realizations of crystal bases

DOI10.1007/s00209-016-1709-7zbMath1395.17026arXiv1603.01346OpenAlexW2963297499MaRDI QIDQ509998

Satoshi Naito, Naoki Fujita

Publication date: 16 February 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01346

zbMATH Keywords

Schubert varietyNewton-Okounkov bodyKashiwara's involutionNakashima-Zelevinsky polyhedral realization

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (9)

Newton–Okounkov Bodies of Flag Varieties and Combinatorial Mutations ⋮ Folding procedure for Newton-Okounkov polytopes of Schubert varieties ⋮ Combinatorics of canonical bases revisited: string data in type \textsf{A} ⋮ Newton–Okounkov polytopes of flag varieties and marked chain-order polytopes ⋮ Reflexivity of Newton–Okounkov bodies of partial flag varieties ⋮ Algebraic and geometric properties of flag Bott-Samelson varieties and applications to representations ⋮ Adapted sequences and polyhedral realizations of crystal bases for highest weight modules ⋮ Polyhedral realizations of crystal bases and convex-geometric Demazure operators ⋮ On the combinatorics of string polytopes

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