Combinatorics of canonical bases revisited: string data in type \textsf{A}
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Publication:2674767
DOI10.1007/s00031-021-09668-7OpenAlexW3197525516MaRDI QIDQ2674767
Bea Schumann, Volker Genz, Gleb A. Koshevoy
Publication date: 14 September 2022
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.04464
Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorial aspects of representation theory (05E10) Simple, semisimple, reductive (super)algebras (17B20)
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- Newton-Okounkov convex bodies of Schubert varieties and polyhedral realizations of crystal bases
- Essential bases and toric degenerations arising from birational sequences
- Trails for minuscule modules and dual Kashiwara functions for the \(B(\infty)\) crystal
- Combinatorial descriptions of the crystal structure on certain PBW bases
- Combinatorics of regular \(A_{2}\)-crystals
- Crystal bases and Newton-Okounkov bodies
- Cones, crystals, and patterns
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Polyhedral realizations of crystal bases for integrable highest weight modules
- A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
- The crystal base and Littelmann's refined Demazure character formula
- Rhombic tilings of polygons and classes of reduced words in Coxeter groups
- On the coloured graph structure of Lusztig's canonical basis
- Polyhedral realizations of crystal bases for quantized Kac-Moody algebras
- Geometrical lifting of the canonical base and Schützenberger involution
- Tensor product multiplicities, canonical and totally positive varieties
- A crystal embedding into Lusztig data of type \(A\)
- Parametrizations of canonical bases and totally positive matrices
- Combinatorics of canonical bases revisited: type A
- Polyhedral parametrizations of canonical bases \& cluster duality
- String cone and superpotential combinatorics for flag and Schubert varieties in type A
- The crystal structure on the set of Mirković-Vilonen polytopes
- Polyhedral realizations of crystal bases for quantum algebras of finite types
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- Canonical Bases Arising from Quantized Enveloping Algebras
- ON CRYSTAL OPERATORS IN LUSZTIG'S PARAMETRIZATIONS AND STRING CONE DEFINING INEQUALITIES
- A comparison of Newton-Okounkov polytopes of Schubert varieties
- Introduction to quantum groups
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