Quasi-invariants of dihedral systems

Feigin, M. (2004) Quasi-invariants of dihedral systems. Mathematical Notes, 76(5), pp. 723-737. (doi: 10.1023/B:MATN.0000049671.38147.7e)

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Publisher's URL: http://dx.doi.org/10.1023/B:MATN.0000049671.38147.7e

Abstract

For two-dimensional Coxeter systems with arbitrary multiplicities, a basis of the module of quasi-invariants over the invariants is explicitly constructed. It is proved that the basis thus obtained consists of m-harmonic polynomials. Hence this generalizes earlier results of Veselov and the author for systems of constant multiplicity.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Feigin, Professor Misha
Authors: Feigin, M.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematical Notes
ISSN:0001-4346
ISSN (Online):1573-8876
Published Online:03 January 2005

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