Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case

DOI10.1007/s10958-011-0281-2zbMath1280.81144OpenAlexW2123138470MaRDI QIDQ389091

Natalia V. Tsilevich

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0281-2

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Inverse scattering problems in quantum theory (81U40) Exactly solvable models; Bethe ansatz (82B23) Statistical mechanics of magnetic materials (82D40) Representations of infinite symmetric groups (20C32)

Related Items (2)

Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. ⋮ The mean-field quantum Heisenberg ferromagnet via representation theory

Cites Work

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• Bethe algebra of homogeneous \(XXX\) Heisenberg model has simple spectrum
• Induced representations of the infinite symmetric group.
• Spectra of Cayley graphs
• On powers of Bessel functions

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