Details of Grant 

EPSRC Reference:	GR/R70194/01
Title:	Deformed Calogero-Moser systems and Lie superalgebras
Principal Investigator:	Veselov, Professor A
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	School of Mathematics
Organisation:	Loughborough University
Scheme:	Standard Research (Pre-FEC)
Starts:	01 February 2002	Ends:	31 January 2003	Value (£):	10,028
EPSRC Research Topic Classifications:	Mathematical Physics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
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Panel History:
Summary on Grant Application Form
Integrable quantum Calogero-Moser systems play a very special role in modern Mathematical Physics. About 5 years ago AP Veselov et al found integrable generalisations of these systems which do not possess Coxeter group symmetry. These so-called deformed Calogero-Moser systems also have some remarkable properties but the nature of their integrability is still to be understood. Very recently AN Sergeev discovered a surprising relation of these deformations with Lie superalgebras of type gl(m/n). The aim of the project is to develop this result still further. It is planned to apply the theory of Lie superalgebras to construct new integrable deformations of Calogero-Moser systems and investigate them using the theory of integrable systems, Lie superalgerbras and related theory of symmetric functions.
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Organisation Website:	http://www.lboro.ac.uk