OnE-discretization of tori of compact simple Lie groups

DOI10.1088/1751-8113/43/16/165206zbMath1193.82005arXiv0912.4194OpenAlexW4212855909MaRDI QIDQ3561013

Jiří Hrivnák, Jirí Patera

Publication date: 17 May 2010

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

Full work available at URL: https://arxiv.org/abs/0912.4194

zbMATH Keywords

Weyl groupLie groupsLie algebrasweight lattice

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Generalized discrete orbit function transforms of affine Weyl groups ⋮ On E–discretization of tori of compact simple Lie groups. II ⋮ Quantum particle on dual weight lattice in even Weyl alcove ⋮ Dominant weight multiplicities in hybrid characters of \(B_n\), \(C_n\), \(F_4\), \(G_2\) ⋮ Discrete cosine and sine transforms generalized to honeycomb lattice II. Zigzag boundaries ⋮ Weight-lattice discretization of Weyl-orbit functions

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