On the center and semi-center of enveloping algebras in prime characteristic

DOI10.1016/j.jalgebra.2009.06.012zbMath1250.17021OpenAlexW1981295485MaRDI QIDQ734804

Amiram Braun, Gil Vernik

Publication date: 13 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.06.012

zbMATH Keywords

Lie algebraenveloping algebradivisor class groupunique factorizationsemi-center

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Modular Lie (super)algebras (17B50) Universal enveloping algebras of Lie algebras (16S30)

Related Items (6)

The center of the enveloping algebra of the \(p\)-Lie algebras \(\mathfrak{sl}_{n}, \mathfrak{pgl}_{n}, \mathfrak{psl}_{n}\), when \(p\) divides \(n\) ⋮ The center of the universal enveloping algebras of small-dimensional nilpotent Lie algebras in prime characteristic ⋮ On Dixmier-Duflo isomorphism in positive characteristic -- the classical nilpotent case ⋮ Semi-invariant matrices over finite groups. ⋮ The Semicenter of the Enveloping Algebra of a Standard Borelp-Algebra ⋮ Simple Twisted Group Algebras of Dimensionp⁴and their Semi-Centers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximal orders in Artinian rings
• Gelfand-Kirillov conjecture in positive characteristics
• Factorial properties of the enveloping algebra of a nilpotent Lie algebra in prime characteristic
• The Zassenhaus variety of a reductive Lie algebra in positive characteristic
• Singularities of quotients by vector fields in characteristic \(p\)
• On the semi-center of a universal enveloping algebra
• Picard groups of some rings of invariants
• Anneaux de Krull non commutatifs
• Relative invariants of finite groups
• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• Relative invariants of finite groups generated by pseudoreflections
• Smooth polynomial identity algebras with almost factorial centers.
• Sur l'algèbre enveloppante d'une algèbre de Lie nilpotente
• Zassenhaus varieties of general linear Lie algebras
• The Semicenter of an Enveloping Algebra is Factorial
• REGULAR CARTAN SUBALGEBRAS AND NILPOTENT ELEMENTS IN RESTRICTED LIE ALGEBRAS
• Non-Commutative Unique Factorisation Rings
• Sur le semi-centre du corps enveloppant d'une algèbre de Lie
• Introduction to Lie Algebras and Representation Theory
• The Representations of Lie Algebras of Prime Characteristic

This page was built for publication: On the center and semi-center of enveloping algebras in prime characteristic