Character expansion for U(N) groups and U(N/M) supergroups

DOI10.1063/1.526399zbMath0588.22013OpenAlexW1966657578MaRDI QIDQ3715344

A. Baha Balantekin

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526399

zbMATH Keywords

unitary groupsirreducible representationssupersymmetryU(N)character expansions

Mathematics Subject Classification ID

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) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

On the Lie superalgebra embedding C(n+1)⊃B(0,n) and dimension formulas, On combinatoric determination of SU(n) weight multiplicities, Character expansions for the orthogonal and symplectic groups, Dimension formulas for the Lie superalgebra sl(m/n), Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions, Unitary integrals and related matrix models, Monomial integrals on the classical groups, Partition function of free conformal fields in 3-plet representation, Character formulae for the lie superalgebra C(n), Character expansion method for supergroups and extended superversions of the Leutwyler–Smilga and Berezin–Karpelevich integrals, Generalization of some integrals over unitary matrices by character expansion of groups, Bosonic color-flavor transformation for the special unitary group, The weighted super Bergman kernels over the supermatrix spaces

Cites Work

• Statistical Theory of the Energy Levels of Complex Systems. I
• Kac–Dynkin diagrams and supertableaux
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)