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Journal of Mathematical Sciences

, Volume 181, Issue 6, pp 914–920 | Cite as

On the behaviour of the periodic Coxeter Laplacian in some representations related to the antiferromagnetic asymptotic mode and continual limits

  • N. V. Tsilevich
Article

We consider some problems related to the asymptotic behaviour of the so-called periodic Coxeter Laplacian (a distinguished operator in the group algebra of the symmetric group essentially coinciding with the Hamiltonian of the XXX Heisenberg model of spins) in some representations corresponding to the antiferromagnetic asymptotic mode, as well as in some related continual limits. Bibliography: 9 titles.

Keywords

Asymptotic Behaviour Symmetric Group Group Algebra Heisenberg Model Distinguished Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.St. Petersburg Department of the Steklov Mathematical InstituteSt. PetersburgRussia

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