Gelfand-Tsetlin coordinates for the unitary supergroup

DOI10.1007/BF02099250zbMath0848.22027MaRDI QIDQ1918075

Thomas Guhr

Publication date: 18 July 1996

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

zbMATH Keywords

unitary groupirreducible representationsHaar measureHarish-Chandra-Itzykson-Zuber integralGelfand-Tsetlin methodgroup integrals

Mathematics Subject Classification ID

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

Related Items

An Itzykson–Zuber-like integral and diffusion for complex ordinary and supermatrices ⋮ Character expansions for the orthogonal and symplectic groups ⋮ Derivation of the supersymmetric Harish-Chandra integral for UOSp(k1/2k2) ⋮ Unitary matrix integral for two-color QCD and the GSE-GUE crossover in random matrix theory ⋮ Crossover ensembles of random matrices and skew-orthogonal polynomials ⋮ Integration of Grassmann variables over invariant functions on flat superspaces ⋮ Character expansion method for supergroups and extended superversions of the Leutwyler–Smilga and Berezin–Karpelevich integrals ⋮ Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type

Cites Work

• Finite-dimensional representations of the quantum superalgebra \(U_ q[gl(n/m)\) and related \(q\)-identities]
• Correlation functions in the Itzykson-Zuber model
• Spherical Functions on a Semisimple Lie Group, I
• Dyson’s correlation functions and graded symmetry
• Dimension and character formulas for Lie supergroups
• Fourier–Bessel analysis for ordinary and graded 2×2 Hermitian matrices
• On the graded group U(1/1)
• The planar approximation. II
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Gelfand-Tsetlin coordinates for the unitary supergroup