Crystal base elements of an extremal weight module fixed by a diagram automorphism

DOI10.1007/s10468-005-0234-xzbMath1151.17008OpenAlexW1972708906MaRDI QIDQ813321

Daisuke Sagaki, Satoshi Naito

Publication date: 8 February 2006

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-005-0234-x

zbMATH Keywords

crystal basesextremal weight modulesdiagram automorphisms

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (12)

Virtual crystals and Nakajima monomials ⋮ Virtualization map for the Littelmann path model ⋮ Lusztig data of Kashiwara-Nakashima tableaux in types \(B\) and \(C\) ⋮ Construction of perfect crystals conjecturally corresponding to Kirillov-Reshetikhin modules over twisted quantum affine algebras ⋮ Folding procedure for Newton-Okounkov polytopes of Schubert varieties ⋮ Diagram automorphisms and quantum groups ⋮ Braid group action on extended crystals ⋮ Structural folding and multi-highest-weight subcrystals of \(B(\infty)\) ⋮ Three kinds of extremal weight vectors fixed by a diagram automorphism ⋮ Diagram automorphisms and canonical bases for quantum affine algebras ⋮ A rationalization of the crystal \(\mathbb Z^{\infty}\) and a diagram automorphism. ⋮ Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types

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