Irreducibility criterion for tensor products of Yangian evaluation modules.

DOI10.1215/S0012-9074-02-11224-1zbMath1035.17025arXivmath/0009183OpenAlexW1974119483MaRDI QIDQ1847914

Alexander I. Molev

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009183

zbMATH Keywords

universal enveloping algebrahighest weightsevaluation homomorphismsirreducibility of tensor products

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (11)

Representations of twisted Yangians of types B, C, D: I ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry ⋮ Equivalences between three presentations of orthogonal and symplectic Yangians ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ Analytical Bethe ansatz for closed and opengl(Script N)-spin chains in any representation ⋮ Representations of twisted Yangians of types B, C, D. II ⋮ Gelfand-Tsetlin representations of finite \(W\)-algebras ⋮ ANALYTICAL BETHE ANSATZ FOR OPEN SPIN CHAINS WITH SOLITON NONPRESERVING BOUNDARY CONDITIONS ⋮ Irreducibility criterion for a finite-dimensional highest weight representation of thesl₂loop algebra and the dimensions of reducible representations

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