Factorial properties of the enveloping algebra of a nilpotent Lie algebra in prime characteristic

DOI10.1016/j.jalgebra.2006.08.034zbMath1114.17004OpenAlexW1984642774WikidataQ115351517 ScholiaQ115351517MaRDI QIDQ868845

Amiram Braun

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.08.034

zbMATH Keywords

enveloping algebranilpotent Lie algebraCalabi-Yau algebraunique factorization domain (UFD)

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Modular Lie (super)algebras (17B50)

Related Items (9)

The center of the enveloping algebra of the \(p\)-Lie algebras \(\mathfrak{sl}_{n}, \mathfrak{pgl}_{n}, \mathfrak{psl}_{n}\), when \(p\) divides \(n\) ⋮ Gelfand-Kirillov conjecture in positive characteristics ⋮ Classification of factorial generalized down-up algebras. ⋮ The center of the universal enveloping algebras of small-dimensional nilpotent Lie algebras in prime characteristic ⋮ On symmetric, smooth and Calabi-Yau algebras. ⋮ The Zassenhaus variety of a reductive Lie algebra in positive characteristic ⋮ On the center and semi-center of enveloping algebras in prime characteristic ⋮ The Semicenter of the Enveloping Algebra of a Standard Borelp-Algebra ⋮ Rings with Enough Invertible Ideals and Their Divisor Class Groups

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