Free generic Poisson fields and algebras

DOI10.1080/00927872.2017.1358269zbMath1434.17027OpenAlexW2737268891MaRDI QIDQ4567813

I. B. Kaĭgorodov, Ualbei Utmakhanbetovich Umirbaev, Ivan Pavlovic Shestakov

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1358269

zbMATH Keywords

automorphismfree algebrageneric Poisson algebrageneric Poisson module

Mathematics Subject Classification ID

Poisson algebras (17B63) Smash products of general Hopf actions (16S40) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Free nonassociative algebras (17A50)

Related Items (15)

Comparing Banach Spaces for Systems of Free Random Variables Followed by the Semicircular Law ⋮ The structure of simple noncommutative Jordan superalgebras ⋮ Representations of simple noncommutative Jordan superalgebras. II ⋮ -(bi)derivations and transposed Poisson algebra structures on Lie algebras ⋮ Free random variables followed by the semicircular law ⋮ Transposed Poisson structures ⋮ Certain \(*\)-homomorphisms of \(C^*\)-algebras and sequences of semicircular elements: a Banach space view ⋮ Group dynamical systems on \(C^*\)-algebras generated by countable infinitely many semicircular elements ⋮ Universal enveloping algebras of generalized Poisson-Ore extensions ⋮ Actions of the additive group \(G_a\) on certain noncommutative deformations of the plane ⋮ \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras ⋮ Certain \(\ast\)-homomorphisms acting on unital \(C^\ast\)-probability spaces and semicircular elements induced by \(p\)-adic number fields over primes \(p\) ⋮ A retrospect of the research in nonassociative algebras in IME-USP ⋮ Representations of simple noncommutative Jordan superalgebras. I ⋮ Free Poisson Elements Induced by Orthogonal Projections

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