Feigin, M. and Veselov, A.P. (2002) Quasi-invariants of Coxeter groups and m-harmonic polynomials. International Mathematics Research Notices, 2002(10), pp. 521-545. (doi: 10.1155/S1073792802106064)
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Publisher's URL: http://dx.doi.org/10.1155/S1073792802106064
Abstract
The space of m-harmonic polynomials related to a Coxeter group G and a multiplicity function m on its root system is defined as the joint kernel of the properly gauged invariant integrals of the corresponding generalised quantum Calogero-Moser problem. The relation between this space and the ring of all quantum integrals of this system (which is isomorphic to the ring of corresponding quasiinvariants) is investigated.
| Item Type: | Articles |
|---|---|
| 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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