On the \(K\)-theory and Hattori-Stallings traces of minimal primitive factors of enveloping algebras of semisimple Lie algebras: the singular case

DOI10.5802/aif.1471zbMath0818.17006OpenAlexW2057175795MaRDI QIDQ1893884

Patrick Polo

Publication date: 12 July 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_3_707_0

zbMATH Keywords

semisimple Lie algebrasenveloping algebrasHattori-Stallings traceminimal primitive ideal

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Universal enveloping (super)algebras (17B35) Grassmannians, Schubert varieties, flag manifolds (14M15) Universal enveloping algebras of Lie algebras (16S30)

Related Items (2)

On the Hattori-Stallings trace for certain primitive factors of enveloping algebras of semisimple Lie algebras ⋮ Non-finitely generated projective modules over generalized Weyl algebras.

Cites Work

• Localization and standard modules for real semisimple Lie groups. I: The duality theorem
• Universal versus relative enveloping algebras: a geometric study of quotients of universal enveloping algebras of semisimple Lie algebras
• Moduln mit einem höchsten Gewicht
• Euler characteristics and characters of discrete groups
• On the Hattori-Stallings trace for certain primitive factors of enveloping algebras of semisimple Lie algebras
• \(K\)-theory of twisted differential operators on flag varieties
• Invariants symétriques entiers des groupes de Weyl et torsion
• Modules of t-Finite Vectors Over Semi-Simple Lie Algebras
• On the Global Dimension of Certain Primitive Factors of the Enveloping Algebra of a Semi-Simple Lie Algebra
• Higher algebraic K-theory: I
• Anneaux de Grothendieck des variétés de drapeaux
• Chern characters, reduced ranks and -modules on the flag variety
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