Symmetric invariants related to representations of exceptional simple groups

DOI10.1090/mosc/261zbMath1397.14063arXiv1609.01914OpenAlexW2517981983MaRDI QIDQ4584297

Oksana S. Yakimova, Dmitri I. Panyushev

Publication date: 30 August 2018

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01914

zbMATH Keywords

coadjoint representationindex of Lie algebrasymmetric invariants

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Semisimple Lie groups and their representations (22E46) Simple, semisimple, reductive (super)algebras (17B20) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (2)

Semi-Direct Products Involving Sp2n or Spinn with Free Algebras of Symmetric Invariants ⋮ Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semi-direct products of Lie algebras and their invariants
• Representations of simple Lie groups with regular rings of invariants
• Koreguläre und äquidimensionale Darstellungen. (Coregular and equidimensional representations)
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive Lie algebras
• On semi-invariants and index for biparabolic (seaweed) algebras. II.
• On symmetric invariants of centralisers in reductive Lie algebras
• The sum of the false degrees -- a mystery in the theory of invariants
• Principal orbit types for algebraic transformation spaces in characteristic zero
• Canonical form and stationary subalgebras of points of general position for simple linear Lie groups
• THE WEYL GROUP OF A GRADED LIE ALGEBRA
• Symmetric invariants of ℤ2-contractions and other semi-direct products
• Some Irreducible Representations of Exceptional Algebraic Groups
• Rings of Invariant Polynomials for a Class of Lie Algebras

This page was built for publication: Symmetric invariants related to representations of exceptional simple groups