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Subjects
37-XX Dynamical systems and ergodic theory
37Kxx Infinite-dimensional Hamiltonian systems
37K30 Relations with infinite-dimensional Lie algebras and other algebraic structures

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Calogero-Moser spaces and an adelic $W$ -algebra

Emil Horozov (2005)

Annales de l’institut Fourier

We introduce a Lie algebra, which we call adelic $W$ -algebra. Then we construct a natural bosonic representation and show that the points of the Calogero-Moser spaces are in 1:1 correspondence with the tau-functions in this representation.

Classical $R$ -operators and integrable generalizations of Thirring equations.

Skrypnyk, Taras V. (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Clifford algebra derivations of tau-functions for two-dimensional integrable models with positive and negative flows.

Aratyn, Henrik, van de Leur, Johan (2007)