A triangularity result for associated varieties of highest weight modules

DOI10.1080/00927870008826928zbMath1017.17009OpenAlexW1983006604MaRDI QIDQ4953292

William M. McGovern

Publication date: 8 July 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008826928

zbMATH Keywords

Lie algebracharacteristic cyclevarietyhighest weightmodule

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (3)

Characteristic cycles of highest weight Harish-Chandra modules ⋮ Characteristic cycles of highest weight Harish-Chandra modules for \(\mathrm{Sp}(2n,\mathbb{R})\) ⋮ Equivalence classes in the Weyl groups of type \(B_n\).

Cites Work

• Unnamed Item
• Unnamed Item
• Differential operators on homogeneous spaces. III: Characteristic varieties of Harish Chandra modules and of primitive ideals
• On the associated variety of a primitive ideal
• The characteristic cycles of holonomic systems on a flag manifold related to the Weyl group algebra
• A surjectivity theorem for rigid highest weight modules
• On the fixed point set of a unipotent element on the variety of Borel subgroups
• A topological approach to Springer's representations
• Representations of Coxeter groups and Hecke algebras
• On the structure of Kazhdan-Lusztig cells for branched Dynkin diagrams
• A generalized \(\tau\)-invariant for the primitive spectrum of a semisimple Lie algebra
• The Integrability of the Characteristic Variety
• On the spaltenstein-steinberg map for classical lie algebras

This page was built for publication: A triangularity result for associated varieties of highest weight modules