Polyhedral realizations of crystal bases and convex-geometric Demazure operators
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Publication:2010192
DOI10.1007/s00029-019-0522-7zbMath1428.05315arXiv1810.12480OpenAlexW2988326215WikidataQ126800631 ScholiaQ126800631MaRDI QIDQ2010192
Publication date: 27 November 2019
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12480
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorial aspects of representation theory (05E10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15)
Related Items
Newton–Okounkov Bodies of Flag Varieties and Combinatorial Mutations, Newton–Okounkov polytopes of flag varieties and marked chain-order polytopes, Schubert calculus on Newton-Okounkov polytopes
Cites Work
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- Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
- Newton-Okounkov convex bodies of Schubert varieties and polyhedral realizations of crystal bases
- Essential bases and toric degenerations arising from birational sequences
- Integrable systems, toric degenerations and Okounkov bodies
- Crystal bases and Newton-Okounkov bodies
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Global crystal bases of quantum groups
- Polyhedral realizations of crystal bases for integrable highest weight modules
- The crystal base and Littelmann's refined Demazure character formula
- Bott towers, complete integrability, and the extended character of representations
- Polyhedral realizations of crystal bases for quantized Kac-Moody algebras
- Degenerations of flag and Schubert varieties to toric varieties
- LS algebras and application to Schubert varieties
- Toric degenerations of Schubert varieties
- Toric degenerations of spherical varieties
- Brunn-Minkowski inequality for multiplicities
- Okounkov bodies and toric degenerations
- Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations
- Newton-Okounkov polytopes of flag varieties
- Crystalizing the q-analogue of universal enveloping algebras
- Algebraic Equations and Convex Bodies
- Schubert calculus and Gelfand-Zetlin polytopes
- Polyhedral realizations of crystal bases for quantum algebras of finite types
- Canonical Bases Arising from Quantized Enveloping Algebras
- Convex bodies associated to linear series
- Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
- Polytopes for Crystallized Demazure Modules and Extremal Vectors
- Divided difference operators on polytopes
- Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases
- On toric degenerations of flag varieties
- A comparison of Newton-Okounkov polytopes of Schubert varieties
- Lectures on the Geometry of Flag Varieties
- Introduction to quantum groups