A decomposition theorem for Demazure crystals.

DOI10.1016/S0021-8693(03)00028-0zbMath1100.17009OpenAlexW2074286576MaRDI QIDQ1400181

Anthony Joseph

Publication date: 13 August 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00028-0

zbMATH Keywords

CrystalsDemazure modules

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (14)

On the left and right Brylinski-Kostant filtrations ⋮ A study of Kostant-Kumar modules via Littelmann paths ⋮ The saturation problem for refined Littlewood-Richardson coefficients ⋮ Extremal tensor products of Demazure crystals ⋮ Limits of multiplicities in excellent filtrations and tensor product decompositions for affine Kac-Moody algebras ⋮ Demazure crystals and the Schur positivity of Catalan functions ⋮ A preparation theorem for the Kashiwara \(B(\infty)\) crystal ⋮ A Demazure character formula for the product monomial crystal ⋮ A combinatorial formula for graded multiplicities in excellent filtrations ⋮ Unnamed Item ⋮ Modules with a Demazure flag ⋮ On higher level Kirillov-Reshetikhin crystals, Demazure crystals, and related uniform models ⋮ Demazure Character Formulas for Generalized Kac–Moody Algebras ⋮ Dual Kashiwara functions for the \(B(\infty)\) crystal in the bipartite case

Cites Work

• Longest weight vectors and excellent filtrations
• Proof of the Parthasarathy-Ranga Rao-Varadarajan conjecture
• 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
• Positivity of some intersections in \(K_0(G/B)\)
• Paths and root operators in representation theory
• Filtrations of B-modules
• On the Demazure character formula
• On a Harish-Chandra homomorphism
• Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras
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