Feigin, M. and Veselov, A.P. (2003) Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems. International Mathematics Research Notices, 2003(46), pp. 2487-2511. (doi: 10.1155/S1073792803130826)
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Publisher's URL: http://dx.doi.org/10.1155/S1073792803130826
Abstract
The rings of quantum integrals of the generalized Calogero-Moser systems related to the deformed root systems An(m) and Cn(m,l) with integer multiplicities and corresponding algebras of quasi-invariants are investigated. In particular, it is shown that these algebras are finitely generated and free as the modules over certain polynomial subalgebras (Cohen-Macaulay property). The proof follows the scheme proposed by Etingof and Ginzburg in the Coxeter case. For two-dimensional systems the corresponding Poincaré series and the deformed m-harmonic polynomials are explicitly computed.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Feigin, Professor Misha |
Authors: | Feigin, M., and Veselov, A.P. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | International Mathematics Research Notices |
ISSN: | 1073-7928 |
ISSN (Online): | 1687-0247 |
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