Construction of invariants of the coadjoint representation of Lie groups using linear algebra methods

DOI10.1134/S0040577916070011zbMath1352.22013OpenAlexW2495740271WikidataQ115248219 ScholiaQ115248219MaRDI QIDQ329887

I. V. Shirokov, O. L. Kurnyavko

Publication date: 24 October 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916070011

zbMATH Keywords

Lie algebraLie grouppolarizationinvariantcoadjoint representationsymplectic coordinate

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Hamilton's equations (70H05) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Coadjoint orbits; nilpotent varieties (17B08)

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Cites Work

• Darboux coordinates on \(K\)-orbits and the spectra of Casimir operators on Lie groups
• COMPATIBLE POISSON BRACKETS ON LIE ALGEBRAS AND COMPLETENESS OF FAMILIES OF FUNCTIONS IN INVOLUTION
• Invariants of solvable rigid Lie algebras up to dimension 8
• Computation of invariants of Lie algebras by means of moving frames
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