scientific article; zbMATH DE number 2010205
From MaRDI portal
Publication:4435149
zbMath1066.17007MaRDI QIDQ4435149
Publication date: 26 November 2003
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)
Related Items (49)
Virtual crystals and Nakajima monomials ⋮ Level 0 Monomial Crystals ⋮ Auto-correlation functions of Sato-Tate distributions and identities of symplectic characters ⋮ Demazure submodules of level-zero extremal weight modules and specializations of Macdonald polynomials ⋮ Cluster algebras of finite type via Coxeter elements and Demazure crystals of type B,C,D ⋮ Introduction to Random Walks on Noncommutative Spaces ⋮ Canonical basic sets in type \(B_n\). ⋮ An algorithm for Berenstein-Kazhdan decoration functions and trails for minuscule representations ⋮ Diamond representations of \({\mathfrak {sl}}(n)\) ⋮ Unidirectional Littelmann paths for crystals of type \(A\) and rank 2 ⋮ Quantum \(SL_2\), infinite curvature and Pitman's $2M-X$ theorem ⋮ Partition models for the crystal of the basic \(U_{q}(\widehat {\mathfrak{sl}}_{n})\)-module ⋮ Description of \(\mathsf {B}(\infty)\) through Kashiwara embedding for Lie algebra types \(E_6\) and \(E_7\) ⋮ Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra ⋮ Combinatorics of canonical bases revisited: string data in type \textsf{A} ⋮ On a generalisation of the Dipper-James-Murphy conjecture ⋮ Crystal base of the negative half of the quantum superalgebra \(U_q( \mathfrak{gl}(m | n))\) ⋮ Pattern avoidance seen in multiplicities of maximal weights of affine Lie algebra representations ⋮ Crystal \(B(\lambda)\) as a subset of crystal \(B(\infty)\) expressed as tableaux for \(A_n\) type ⋮ Langlands duality for representations of quantum groups ⋮ Polytopal estimate of Mirković-Vilonen polytopes lying in a Demazure crystal ⋮ Descriptions of crystal \(\mathsf{B}(\lambda)\) for \(E_6\) and \(E_7\) types via tableaux and Kashiwara embedding ⋮ Quantum unipotent subgroup and dual canonical basis ⋮ Tensor products and Minkowski sums of Mirković-Vilonen polytopes ⋮ The modular branching rule for affine Hecke algebras of type \(A\). ⋮ Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras ⋮ Young tableaux and crystal \(\mathcal B(\infty )\) for the exceptional Lie algebra types ⋮ Weights of multipartitions and representations of Ariki-Koike algebras. II: Canonical bases ⋮ Colored five-vertex models and Demazure atoms ⋮ A modular branching rule for the generalized symmetric groups. ⋮ Lakshmibai-Seshadri paths and non-symmetric Cauchy identity ⋮ Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2 ⋮ Keys and Demazure crystals for Kac-Moody algebras ⋮ Alcove path model for \(B(\infty)\) ⋮ On the tensor product of two basic representations of \(U_v(\hat s l_e)\) ⋮ Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths ⋮ Hecke-Clifford superalgebras and crystals of type \(D_l^{(2)}\) ⋮ An LLT-type algorithm for computing higher-level canonical bases ⋮ Extremal loop weight modules for \(\mathcal {U}_q(\widehat{sl}_{\infty})\) ⋮ Chevalley formula for anti-dominant weights in the equivariant \(K\)-theory of semi-infinite flag manifolds ⋮ \(B_2\)-crystals: axioms, structure, models ⋮ Candidate for the crystal \(B_{(-\infty)}\) for the queer Lie superalgebra ⋮ Continuous crystal and Duistermaat-Heckman measure for Coxeter groups. ⋮ On the Mullineux involution for Ariki-Koike algebras. ⋮ Mirković-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal ⋮ Cluster algebras of finite type via Coxeter elements and Demazure crystals of type A ⋮ Geometric crystals on unipotent groups and generalized Young tableaux ⋮ A rigged configuration model for \(B(\infty)\) ⋮ Crystal ℬ(∞) for Quantum Affine Algebras: A Young Wall Description
This page was built for publication: