Results 191 to 200 of about 70,318 (221)

Representations of Lie conformal algebras related to Galilean conformal algebras

Communications in Algebra, 2021
We study the representation theory of Lie conformal analogues r(a, b) of certain Galilean conformal algebras, where are complex numbers. We first classify their finite irreducible conformal modules, and then solve the extension problem. In particular, we
Xiu Han, Dengyin Wang, Chunguang Xia
semanticscholar   +1 more source

Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules

Communications in Mathematics
In this paper, we find the Hochschild cohomology groups of the universal associative conformal envelope $U(3)$ of the Virasoro Lie conformal algebra with respect to associative locality $N=3$ on the generator with coefficients in all finite modules.
H. Alhussein, Pavel Kolesnikov, Viktor Lopatkin   +2 more
semanticscholar   +1 more source

Two classes of Lie conformal superalgebras related to the Heisenberg–Virasoro Lie conformal algebra

Journal of Mathematics and Physics
In this paper, we classify the Lie conformal superalgebras R=R0̄⊕R1̄, where R1̄ is of rank 1 and R0̄ is the Heisenberg–Virasoro Lie conformal algebra HV, which is a free C[∂]-module generated by L and H satisfying [LλL] = (∂ + 2λ)L, [LλH] = (∂ + λ)H ...
Jinrong Wang, Xiaoqing Yue
semanticscholar   +1 more source

Lie conformal algebras related to Galilean conformal algebras

, 2020
Let R(a,b) be a Lie conformal algebra related to Galilean conformal algebras, where a,b are complex numbers. All the conformal derivations of R(a,b) are shown to be inner.
Xiu Han, Dengyin Wang, Chunguang Xia
semanticscholar   +1 more source

Extending structures of lie conformal superalgebras

Communications in Algebra, 2019
In this article, we generalize the -split extending structures problem of Lie conformal algebras to the super case. First, we introduce a unified product of a given Lie conformal superalgebra and a given -graded -module Q.
Jun Zhao, Liangyun Chen, Lamei Yuan
semanticscholar   +1 more source

Representations of the associated Lie conformal algebra of the W1+

Journal of Algebra, 2023
Chunguang Xia
semanticscholar   +1 more source

Conformal biderivations of loop W(a, b) Lie conformal algebra

Frontiers of Mathematics, 2021
Jun Zhao, Liangyun Chen, Lamei Yuan
semanticscholar   +1 more source

From the conformal anomaly to the Virasoro algebra

Proceedings of the London Mathematical Society
The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization
Sid Maibach, Eveliina Peltola
semanticscholar   +1 more source

Twisting theory, relative Rota-Baxter type operators and L∞-algebras on Lie conformal algebras

Journal of Algebra, 2023
Lamei Yuan, Jiefeng Liu
semanticscholar   +1 more source

$\mathcal{W}(a,b)$ Lie Conformal Algebra and Its Conformal Module of Rank One

, 2015
Ying Xu, Xiaoqing Yue
semanticscholar   +1 more source