A decomposition theorem for Demazure crystals.
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Publication:1400181
DOI10.1016/S0021-8693(03)00028-0zbMath1100.17009OpenAlexW2074286576MaRDI QIDQ1400181
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
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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