Advanced search
Publication Cover
Communications in Algebra Volume 46, 2018 - Issue 4
Submit an article Journal homepage
149
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Free generic Poisson fields and algebras

Ivan KaygorodovUniversidade Federal de ABC, São Paulo, Brazil
,
Ivan ShestakovInstituto de Matemática e Estatística, Universidade de São Paulo, Brazil;Sobolev Institute of Mathematics, Novosibirsk, RussiaCorrespondence[email protected]
&
Ualbai UmirbaevWayne State University, Detroit, USA
Pages 1799-1812 | Received 29 Oct 2015, Published online: 07 Sep 2017

Citations (17)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Lamei Yuan & Qianyi Hua. (2022) -(bi)derivations and transposed Poisson algebra structures on Lie algebras. Linear and Multilinear Algebra 70:22, pages 7672-7701.
Read now

Articles from other publishers (16)

Ilwoo Cho & Palle E. T. Jorgensen. (2024) Free random variables whose free distributions are dictated by the semicircular law. Advances in Operator Theory 9:2.
Crossref
Patrícia Damas Beites, Bruno Leonardo Macedo Ferreira & Ivan Kaygorodov. (2024) Transposed Poisson Structures. Results in Mathematics 79:2.
Crossref
Ilwoo Cho. (2023) Free Random Variables Followed by the Semicircular Law. Complex Analysis and Operator Theory 17:7.
Crossref
Yury Popov. (2023) Representations of simple noncommutative Jordan superalgebras II. Journal of Pure and Applied Algebra 227:1, pages 107135.
Crossref
L. S. I. Murakami, L. A. Peresi & I. P. Shestakov. (2021) A retrospect of the research in nonassociative algebras in IME-USP. São Paulo Journal of Mathematical Sciences 16:1, pages 84-130.
Crossref
Ilwoo Cho & Palle Jorgensen. 2022. Operator and Norm Inequalities and Related Topics. Operator and Norm Inequalities and Related Topics 773 822 .
Ilwoo Cho. 2022. Methods of Mathematical Modelling and Computation for Complex Systems. Methods of Mathematical Modelling and Computation for Complex Systems 159 205 .
Bruno Leonardo Macedo Ferreira, Ivan Kaygorodov & Viktor Lopatkin. (2021) $$\frac{1}{2}$$-derivations of Lie algebras and transposed Poisson algebras. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115:3.
Crossref
Ivan Kaygorodov, Samuel A. Lopes & Farukh Mashurov. (2021) Actions of the additive group G a on certain noncommutative deformations of the plane . Communications in Mathematics 29:2, pages 269-279.
Crossref
Yuan Shen & Xia Zheng. (2021) Universal enveloping algebras of generalized Poisson–Ore extensions. Rocky Mountain Journal of Mathematics 51:2.
Crossref
Ilwoo Cho. 2021. New Trends in Applied Analysis and Computational Mathematics. New Trends in Applied Analysis and Computational Mathematics 191 234 .
Ilwoo Cho & Palle E. T. Jorgensen. (2020) Certain ∗-homomorphisms of C∗-algebras and sequences of semicircular elements: A Banach space view. Illinois Journal of Mathematics 64:4.
Crossref
Yury Popov. (2020) Representations of simple noncommutative Jordan superalgebras I. Journal of Algebra 544, pages 329-390.
Crossref
Ilwoo Cho. (2020) Certain $*$-homomorphisms acting on unital $C^{*}$-probability spaces and semicircular elements induced by $p$-adic number fields over primes $p$. Electronic Research Archive 28:2, pages 739-776.
Crossref
Ilwoo Cho. 2020. Mathematical Methods and Modelling in Applied Sciences. Mathematical Methods and Modelling in Applied Sciences 225 259 .
Ivan Kaygorodov, Artem Lopatin & Yury Popov. (2018) The Structure of Simple Noncommutative Jordan Superalgebras. Mediterranean Journal of Mathematics 15:2.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.