Orthogonality within the families of \(C\)-, \(S\)-, and \(E\)-functions of any compact semisimple Lie group

DOI10.3842/SIGMA.2006.076zbMath1132.33319arXivmath-ph/0611020OpenAlexW1987939206WikidataQ115219737 ScholiaQ115219737MaRDI QIDQ2472005

Robert V. Moody, Jirí Patera

Publication date: 19 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0611020

zbMATH Keywords

Weyl groupsemisimple Lie grouporbit functionsdiscrete orthogonalitycontinuous orthogonality

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (11)

Spectral measures associated to rank two Lie groups and finite subgroups of \(\mathrm{GL}(2,\mathbb Z)\) ⋮ Generalized discrete orbit function transforms of affine Weyl groups ⋮ On immanant functions related to Weyl groups of A n ⋮ On E–discretization of tori of compact simple Lie groups. II ⋮ Quantum particle on dual weight lattice in even Weyl alcove ⋮ Four families of Weyl group orbit functions of B3 and C3 ⋮ Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups ⋮ Decomposition matrices for the square lattices of the Lie groups \(\mathrm{SU}(2)\times \mathrm{SU}(2)\) ⋮ Weight-lattice discretization of Weyl-orbit functions ⋮ Dual-root lattice discretization of Weyl orbit functions ⋮ Generating functions for orthogonal polynomials of \(A_{2}\), \(C_{2}\) and \(G_{2}\)

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