ON CHARACTERS AND DIMENSION FORMULAS FOR REPRESENTATIONS OF THE LIE SUPERALGEBRA gl(M|N)

DOI10.1142/9789812702562_0003zbMath1229.17005OpenAlexW2325491505MaRDI QIDQ3107136

E. M. Moens, Joris Van der Jeugt

Publication date: 1 January 2012

Published in: Lie Theory and Its Applications in Physics V (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812702562_0003

zbMATH Keywords

covariant representationsdeterminantal formulatamenesssupersymmetric Schur polynomials\(t\)-dimension formulaHankel determinant identity

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items

Jacobi–Trudi type formula for a class of irreducible representations of 𝔤𝔩(m|n) ⋮ Deligne’s category \underline{𝑅𝑒}𝑝(𝐺𝐿_{𝛿}) and representations of general linear supergroups ⋮ Jacobi-Trudi type formula for character of irreducible representations of \(\mathfrak{gl}(m|1)\)