On supports and associated primes of modules over the enveloping algebras of nilpotent Lie algebras

DOI10.1090/S0002-9947-01-02741-6zbMath0998.17013OpenAlexW1521245273MaRDI QIDQ2706607

Boris Širola

Publication date: 20 March 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02741-6

zbMATH Keywords

coadjoint orbitnilpotent Lie algebrauniversal enveloping algebraprime idealsemisimple Lie grouplocalizationsupportsemisimple Lie algebraparabolic subalgebraassociated primeaugmentation ideal(co)adjoint actionannihilator primestable prime

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Localization and associative Noetherian rings (16P50)

Related Items (3)

Annihilator Primes and Foundation Primes ⋮ On noncommutative Noetherian schemes. ⋮ Going up for enveloping algebras of Lie algebras

Cites Work

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• The Intersection Theorem for a Class of Non-Commutative Rings^†
• Localization and the AR Property
• Annihilator Primes and Foundation Primes
• Lie groups beyond an introduction
• Going up for enveloping algebras of Lie algebras

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