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Download fileOrbits and invariants of super Weyl groupoid
journal contribution
posted on 2016-09-16, 09:14 authored by A.N. Sergeev, Alexander VeselovAlexander VeselovWe study the orbits and polynomial invariants of certain affine action of the super Weyl groupoid of Lie superalgebra gl(n,m)
gl(n,m)
, depending on a parameter. We show that for generic values of the parameter all the orbits are finite and separated by certain explicitly given invariants. We also describe explicitly the special set of parameters, for which the algebra of invariants is not finitely generated and does not separate the orbits, some of which are infinite.
Funding
This work was partially supported by the Engineering and Physical Sciences Research Council (EPSRC) [EP/J00488X/1].
History
School
- Science
Department
- Mathematical Sciences
Published in
IMRNCitation
SERGEEV, A.N. and VESELOV, A.P., 2017. Orbits and invariants of super Weyl groupoid. International Mathematics Research Notices, Volume 2017 (20), pp. 6149–6167.Publisher
© The Author(s) 2016. Published by Oxford University PressVersion
- VoR (Version of Record)
Publisher statement
CC BY 4.0 This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/Acceptance date
2016-08-02Publication date
2017Notes
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.ISSN
1073-7928eISSN
1687-0247Publisher version
Language
- en
