Results 181 to 190 of about 70,318 (221)

Lie super-bialgebra structures on the two dimensional supersymmetric Galilean conformal algebra

Communications in Algebra, 2023
Let be the two dimensional supersymmetric Galilean conformal algebra. In this paper, we obtain that Lie superalgebra admits only triangular coboundary Lie super-bialgebra structures and the proof is mainly based on the computation of the first cohomology
Jinlu Li, Jiancai Sun, Hanhan Xu
semanticscholar   +1 more source

Extensions of finite irreducible conformal modules over Lie conformal algebras đ’Č(a,b,r)

Communications in Algebra, 2023
In this article, we study extensions of conformal modules over Lie conformal algebras W(a,b,r) with three parameters a, b, r∈C, which contain the Virasoro Lie conformal algebra Vir, W(b) and W(a,b) as subalgebras.
Hongfei Pan, Xiaoqing Yue
semanticscholar   +1 more source

Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras

Communications in Algebra, 2022
We introduce a class of Lie conformal superalgebra S(a, b), where a, b are complex parameters. These Lie conformal superalgebras can be viewed as the super deformation of Heisenberg-Virasoro type Lie conformal algebras.
Ying‐Qing Wu   +2 more
semanticscholar   +1 more source

Schrödinger-Virasoro Lie conformal algebras

Communications in Algebra, 2022
Schrödinger-Virasoro Lie algebras spanned by are annihilation algebras of Lie conformal algebras of rank three, which are widely studied by mathematicians and physicists.
Mengjun Wang, Zhixiang Wu
semanticscholar   +1 more source

Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra

Communications in Algebra, 2018
In this article, under some natural condition, a complete classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra is presented. Moreover, applying this result, we obtain a class of compatible left-symmetric
D. Liu   +3 more
semanticscholar   +1 more source

On universal conformal envelopes for quadratic Lie conformal algebras

Communications in Algebra, 2022
We prove that every quadratic Lie conformal algebra constructed on a special Gel’fand–Dorfman algebra embeds into the universal enveloping associative conformal algebra with a locality function bound N = 3.
R. Kozlov
semanticscholar   +1 more source

Gerstenhaber algebra of the Hochschild cohomology of an associative conformal algebra

RACSAM, 2022
We define a cup product on the Hochschild cohomology of an associative conformal algebra A , and show the cup product is graded commutative. We define a graded Lie bracket with the degree $$-1$$ - 1 on the Hochschild cohomology $$\textrm{HH}^{*}(A)$$ HH ∗
Bo Hou, Zhongxi Shen, Jun Zhao
semanticscholar   +1 more source

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