Centrally generated primitive ideals of \(U(\mathfrak{n})\) in types B and D

DOI10.1007/s00031-018-9504-7zbMath1466.17008arXiv1709.09543OpenAlexW2963370506MaRDI QIDQ2301821

Mikhail V. Ignatyev

Publication date: 25 February 2020

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09543

zbMATH Keywords

center of enveloping algebracentrally generated primitive idealDixmier mapKostant cascadelocally nilpotent Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (1)

Centrally generated primitive ideals of \(U(\mathfrak{n})\) for exceptional types

Cites Work

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• Locally semisimple and maximal subalgebras of the finitary Lie algebras \(\text{gl}(\infty)\), \(\text{sl}(\infty)\), \(\text{so}(\infty)\), and \(\text{sp}(\infty)\)
• Orthogonal subsets of classical root systems and coadjoint orbits of unipotent groups.
• Infinite Kostant cascades and centrally generated primitive ideals of \(U(\mathfrak{n})\) in types \(A_\infty\), \(C_\infty\)
• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• Primitive ideals in enveloping algebras
• A preparation theorem for the prime spectrum of a semisimple Lie algebra
• Finitary simple Lie algebras
• Involutions in \(S_n\) and associated coadjoint orbits
• Représentations irréducibles des algèbres de Lie resolubles
• Center $$U(\mathfrak{n})$$ , Cascade of Orthogonal Roots, and a Construction of Lipsman–Wolf
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Canonical Semi-Invariants and the Plancherel Formula for Parabolic Groups
• The cascade of orthogonal roots and the coadjoint structure of the nilradical of a Borel subgroup of a semisimple Lie group
• Pfaffians and Skew-Symmetric Matrices
• Semi-centre de l'algèbre enveloppante d'une sous-algèbre parabolique d'une algèbre de Lie semi-simple☆

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