We 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
IMRN
Citation
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.
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
2016-08-02
Publication date
2017
Notes
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work is properly cited.