Balanced parabolic quotients and branching rules for Demazure crystals

DOI10.1007/S10801-016-0673-YzbMath1344.05151OpenAlexW2282168672MaRDI QIDQ314050

John M. Dusel

Publication date: 12 September 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-016-0673-y

zbMATH Keywords

Weyl groupscrystal basesDemazure crystals

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Algebraic combinatorics (05E99)

Related Items (1)

Structural folding and multi-highest-weight subcrystals of \(B(\infty)\)

Uses Software

• OEIS

Cites Work

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• Cones, crystals, and patterns
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• The crystal base and Littelmann's refined Demazure character formula
• Polyhedral realizations of crystal bases for quantized Kac-Moody algebras
• Littelmann's refined Demazure character formula revisited
• On the fully commutative elements of Coxeter groups
• Crystalizing the q-analogue of universal enveloping algebras
• Combinatorics of Coxeter Groups
• Some combinatorial aspects of reduced words in finite Coxeter groups
• Canonical Bases Arising from Quantized Enveloping Algebras
• Polytopes for Crystallized Demazure Modules and Extremal Vectors
• Introduction to Lie Algebras and Representation Theory
• Introduction to quantum groups

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