Zobrazeno 1 - 10
of 173
pro vyhledávání: '"Zusmanovich, Pasha"'
Autor:
Zohrabi, Arezoo, Zusmanovich, Pasha
Publikováno v:
Communications in Mathematics, Volume 33 (2025), Issue 1 (October 11, 2024) cm:13595
We compute $\delta$-derivations of simple Jordan algebras with values in irreducible bimodules. They turn out to be either ordinary derivations ($\delta = 1$), or scalar multiples of the identity map ($\delta = \frac 12$). This can be considered as a
Externí odkaz:
http://arxiv.org/abs/2404.11966
Autor:
Zusmanovich, Pasha
We provide a variant of Baer's theorem about isomorphism of endomorphism rings of vector spaces over division rings, where the full endomorphism rings are replaced by some subrings of finitary maps.
Comment: 3 pages; to appear in Rocky Mountain
Comment: 3 pages; to appear in Rocky Mountain
Externí odkaz:
http://arxiv.org/abs/2303.14749
Autor:
Zohrabi, Arezoo, Zusmanovich, Pasha
Publikováno v:
J. Algebra 573 (2021), 476--491
We prove that $\delta$-derivations of a simple finite-dimensional Lie algebra over a field of characteristic zero, with values in a finite-dimensional module, are either inner derivations, or, in the case of adjoint module, multiplications by a scala
Externí odkaz:
http://arxiv.org/abs/2211.06645
Autor:
Zusmanovich, Pasha
Publikováno v:
Comm. Algebra 49 (2021), no.3, 1104-1119
We study so called regular Lie algebras, i.e. Lie algebras in which each nonzero element is regular. We make a connection with an open problem whether any element of reduced trace zero in a simple associative algebra is a commutator.
Comment: 13
Comment: 13
Externí odkaz:
http://arxiv.org/abs/2211.06640
Autor:
Zusmanovich, Pasha
We study the behavior of contact brackets on the tensor product of two algebras, in particular, address the question of Mart\'inez and Zelmanov about extension of a contact bracket on the tensor product from the brackets on the factors.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/2211.06638
Autor:
Zusmanovich, Pasha
We give a new proof of a version of the main theorem of the previous paper in the series about embedding of an algebraic system into ultraproducts.
Comment: 5 pages; for the latest version of this text, see https://web.osu.cz/~Zusmanovich/papers
Comment: 5 pages; for the latest version of this text, see https://web.osu.cz/~Zusmanovich/papers
Externí odkaz:
http://arxiv.org/abs/2211.06633
Autor:
Zusmanovich, Pasha
We are concerned with the question when Hom-Lie structures on a Lie algebra are closed with respect to the Jordan product. Somewhat unexpectedly, this leads us to certain questions connected with the Yang-Baxter equation, and with decomposition of a
Externí odkaz:
http://arxiv.org/abs/2211.06631
Autor:
Kaygorodov, Ivan, Zusmanovich, Pasha
We study anticommutative algebras with the property that commutator of any two multiplications is a derivation.
Externí odkaz:
http://arxiv.org/abs/2105.00307
Motivated by the recent progress towards classification of simple finite-dimensional Lie algebras over an algebraically closed field of characteristic $2$, we investigate such $15$-dimensional algebras.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2104.01400
Autor:
Zohrabi, Arezoo, Zusmanovich, Pasha
We prove simplicity, and compute $\delta$-derivations and symmetric associative forms of algebras in the title.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/1912.03370