Zobrazeno 1 - 10
of 754
pro vyhledávání: '"17b40"'
Autor:
Zhang, Huhu, Gao, Xing
Rota-Baxter operators on groups were studied quite recently. Motivated mainly by the fact that weight zero Rota-Baxter operators and averaging operators are Koszul dual to each other, we propose the concept of averaging group and prove that the diffe
Externí odkaz:
http://arxiv.org/abs/2412.11600
Two classes of Lie conformal superalgebras related to the Heisenberg--Virasoro Lie conformal algebra
Autor:
Wang, Jinrong, Yue, Xiaoqing
In this paper, firstly we construct two classes of Lie conformal superalgebras denoted by $\mathcal{HVS}(\alpha)$ and $\mathcal{HVS}(\beta,\gamma,\tau)$, respectively, where $\alpha$ is an nonzero complex number and $\beta,\gamma,\tau$ are complex nu
Externí odkaz:
http://arxiv.org/abs/2412.00735
Autor:
Shehata, Ayman, Kumar, Dinesh
The study is devoted to the construction of dynamical symmetry algebra of confluent hypergeometric function $_1F_1$ and $\Psi_2$-Humbert function and to derive some generating relations and reduction formulas for $_1F_1$ and $\Psi_2$ functions.
Externí odkaz:
http://arxiv.org/abs/2411.08828
We introduce the notion of quasi-triangular Leibniz bialgebras, which can be constructed from solutions of the classical Leibniz Yang-Baxter equation (CLYBE) whose skew-symmetric parts are invariant. In addition to triangular Leibniz bialgebras, quas
Externí odkaz:
http://arxiv.org/abs/2410.03089
This paper aims to find a unified approach to studying the cohomology theories of various operators on Leibniz algebras. We first introduce deformation maps in a proto-twilled Leibniz algebra to do this. Such maps generalize various well-known operat
Externí odkaz:
http://arxiv.org/abs/2409.18599
Autor:
Miyashita, Toshikazu
In order to define the complex exceptional Lie groups $ {F_4}^C, {E_6}^C, {E_7}^C, {E_8}^C $ and these compact real forms $ F_4,E_6,E_7,E_8 $, we usually use the Cayley algebra $ \mathfrak{C} $. In the present article, we consider replacing the Cayle
Externí odkaz:
http://arxiv.org/abs/2409.07760
It is shown that any Lie affgebra, that is an algebraic system consisting of an affine space together with a bi-affine bracket satisfying affine versions of the antisymmetry and Jacobi identity, is isomorphic to a Lie algebra together with an element
Externí odkaz:
http://arxiv.org/abs/2409.01996
Autor:
Zhang, Tao, Bai, Lisi
In this paper, we introduce the notions of crossed module of anti-pre-Lie algebras. We explore the non-abelian cohomology of anti-pre-Lie algebras to classify their non-abelian extensions. Additionally, we investigate the inducibility of a pair of au
Externí odkaz:
http://arxiv.org/abs/2409.16289
Autor:
Shermatova, Zarina
We compute 1/2-derivations on the extended Schr\"odinger-Virasoro algebras and the original deformative Schr\"odinger-Virasoro algebras. The extended Schr\"odinger-Virasoro algebras have neither nontrivial 1/2-derivations nor nontrivial transposed Po
Externí odkaz:
http://arxiv.org/abs/2408.14160
Extensions of Lie algebras equipped with Sasakian or Frobenius-K\"ahler geometrical structures are studied. Conditions are given so that a double extension of a Sasakian Lie algebra be Sasakian again. Conditions are also given for obtaining either a
Externí odkaz:
http://arxiv.org/abs/2408.11236