Four types of special functions ofG2and their discretization

DOI10.1080/10652469.2011.598265zbMath1252.22012arXiv1101.2502OpenAlexW3103733026MaRDI QIDQ2892839

Marzena Szajewska

Publication date: 25 June 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2502

zbMATH Keywords

special functionsdiscretization of the orbit functionssimple Lie group \(G_2\)

Mathematics Subject Classification ID

Lie groups (22E99) Other special functions (33E99)

Related Items (4)

Decomposition matrices for the special case of data on the triangular lattice of \(SU(3)\) ⋮ Dominant weight multiplicities in hybrid characters of \(B_n\), \(C_n\), \(F_4\), \(G_2\) ⋮ Decomposition matrices for the special case of data on the triangular lattice of \(G(2)\) ⋮ Four families of Weyl group orbit functions of B3 and C3

Cites Work

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• Automorphisms of finite order of semisimple Lie algebras
• Characters of Elements of Finite Order in Lie Groups
• Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2
• Discrete and continuous cosine transform generalized to Lie groups SU(3) and G(2)
• Discrete and continuous sine transform generalized to semisimple Lie groups of rank two
• (Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms
• On discretization of tori of compact simple Lie groups
• Generating functions for G2 characters and subgroup branching rules
• Fast recursion formula for weight multiplicities

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