Quantum Calogero-Moser systems: a view from infinity
A.N. Sergeev, A.P. Veselov
TL;DR
This paper explores infinite-dimensional Calogero-Moser operators, connecting them with symmetric functions and Lie superalgebra representation theory, providing new insights into their structure and applications.
Contribution
It introduces novel infinite-dimensional Calogero-Moser operators and relates them to symmetric functions and Lie superalgebras, expanding the theoretical framework.
Findings
Established links between infinite-dimensional Calogero-Moser operators and symmetric functions.
Connected these operators with the representation theory of classical Lie superalgebras.
Provided a comprehensive overview of the infinite-dimensional generalizations.
Abstract
Various infinite-dimensional versions of Calogero-Moser operator are discussed in relation with the theory of symmetric functions and representation theory of basic classical Lie superlagebras. This is a version of invited talk given by the second author at XVI International Congress on Mathematical Physics in Prague, August 2009.
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