Root Systems for Levi Factors and Borel–de Siebenthal Theory

DOI10.1007/978-0-8176-4875-6_7zbMath1226.17008arXiv0711.2809OpenAlexW1489643504MaRDI QIDQ3161493

Bertram Kostant

Publication date: 14 October 2010

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2809

zbMATH Keywords

Levi factorslinear algebraic groupsBorel-de Siebenthal theoryroot structures

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Linear algebraic groups over arbitrary fields (20G15) Lie algebras of linear algebraic groups (17B45) Root systems (17B22)

Related Items (16)

Nilradicals of parabolic subalgebras admitting symplectic structures ⋮ Cup products of line bundles on homogeneous varieties and generalized PRV components of multiplicity one ⋮ On Kostant root systems of Lie superalgebras ⋮ Reductive compact homogeneous CR manifolds ⋮ Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra ⋮ Explicit pseudo-Kähler metrics on flag manifolds ⋮ Positive systems of Kostant roots ⋮ On the distribution of the Hodge locus ⋮ Abelian ideals of a Borel subalgebra and root systems. II ⋮ The adjoint homology of a family of 2-step nilradicals ⋮ Unnamed Item ⋮ Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications ⋮ The Betti numbers for Heisenberg Lie algebras ⋮ Diagram involutions and homogeneous Ricci-flat metrics ⋮ Strongly solvable spherical subgroups and their combinatorial invariants ⋮ Levi factors and admissible automorphisms

Cites Work

• A characterization of the classical groups
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Orbital varieties of the minimal orbit
• Introduction to Lie Algebras and Representation Theory
• Unnamed Item
• Unnamed Item

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