Hook young diagrams, combinatorics and representations of Lie superalgebras

DOI10.1090/S0273-0979-1983-15110-8zbMath0506.17002MaRDI QIDQ4742968

Amitai Regev, Allan Berele

Publication date: 1983

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

representations of Lie superalgebrasaction of symmetric groupHook Young diagrams

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Superalgebras (17A70)

Related Items (8)

On the composition factors of Kac modules for the Lie superalgebras sl(m/n) ⋮ The mathematics of Amitai Regev ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Representations of quantum affine algebras of type $B_N$ ⋮ Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions ⋮ Lie superalgebras ⋮ A novel symmetry of colored HOMFLY polynomials coming from \(\mathfrak{sl}(N|M)\) superalgebras ⋮ Character formulas for irreducible modules of the Lie superalgebras sl(m/n)

Cites Work

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• The Kronecker product of \(S_n\)-characters and an \(A\otimes B\) theorem for Capelli identities
• PI-algebras and their cocharacters
• Characters of typical representations of classical lie superalgebras
• The Polynomial Identities of the Grassman Algebra
• Lie superalgebras

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