On discretization of tori of compact simple Lie groups: II

DOI10.1088/1751-8113/45/25/255201zbMath1247.65178arXiv1206.0240OpenAlexW2964109028MaRDI QIDQ2901535

Jiří Hrivnák, Jirí Patera, Lenka Motlochová

Publication date: 20 July 2012

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

Full work available at URL: https://arxiv.org/abs/1206.0240

zbMATH Keywords

latticecharacteraffine Weyl grouporbit functionsdiscrete orthogonalitycompact simple Lie group\(S^l\)-functions\(S^s\)-functionsdiscrete \(S^l\)-transformdiscrete \(S^s\)-transformdiscrete Fourier-like transform

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Numerical methods for discrete and fast Fourier transforms (65T50) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80)

Related Items (13)

Generalized discrete orbit function transforms of affine Weyl groups ⋮ Discrete cosine and sine transforms generalized to honeycomb lattice ⋮ On E–discretization of tori of compact simple Lie groups. II ⋮ Quantum particle on dual weight lattice in even Weyl alcove ⋮ Quantum particle on lattices in Weyl alcoves ⋮ Dominant weight multiplicities in hybrid characters of \(B_n\), \(C_n\), \(F_4\), \(G_2\) ⋮ Gaussian cubature arising from hybrid characters of simple Lie groups ⋮ Discrete cosine and sine transforms generalized to honeycomb lattice II. Zigzag boundaries ⋮ Four families of Weyl group orbit functions of B3 and C3 ⋮ 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 \(G_{2}\) ⋮ Quantum particle on dual root lattice in Weyl alcove

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