Weight bases of Gelfand-Tsetlin type for representations of classical Lie algebras

DOI10.1088/0305-4470/33/22/316zbMath0988.17005arXivmath/9909034OpenAlexW2091158427MaRDI QIDQ4507728

Alexander I. Molev

Publication date: 8 October 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9909034

zbMATH Keywords

Yangiansirreducible representationsodd orthogonal Lie algebrasweight basisGelfand-Tsetlin-type patterns

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (11)

Unnamed Item ⋮ Gelfand-Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions ⋮ Extremal properties of bases for representations of semisimple Lie algebras ⋮ Unnamed Item ⋮ FFLV-type monomial bases for type B ⋮ TRIPLE MONOGENIC FUNCTIONS AND HIGHER SPIN DIRAC OPERATORS ⋮ Explicit constructions of the fundamental representations of the symplectic Lie algebras ⋮ Degenerate affine Hecke algebras and centralizer construction for the symmetric groups ⋮ Solitary and edge-minimal bases for representations of the simple Lie algebra \(G_2\) ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ Gel’fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl(m∣n)

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