Jordan–Kronecker invariants for semidirect sums defined by standard representation of orthogonal or symplectic Lie algebras

Jordan–Kronecker invariants for semidirect sums defined by standard representation of orthogonal or symplectic Lie algebras

We calculate Jordan–Kronecker invariants for semi-direct sums of Lie algebras so ( n ) and sp ( n ) with several copies of R n with respect to their standard representation.

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Veröffentlicht in:Lobachevskii journal of mathematics 2017-11, Vol.38 (6), p.1121-1130
1. Verfasser: Vorushilov, K.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Invariants
Lie groups
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Representations
Sums
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Zusammenfassung:We calculate Jordan–Kronecker invariants for semi-direct sums of Lie algebras so ( n ) and sp ( n ) with several copies of R n with respect to their standard representation.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080217060142