Zobrazeno 1 - 10
of 18 864
pro vyhledávání: '"Rota, P A"'
Autor:
Schaefer Jack
Jared Heath byl povýšen na důstojníka a už několik dní je nucen vést svou vyčerpanou a čím dál tím více zmenšující se rotu do předem prohraného boje. Když v jedné chvíli odmítne poslat zbytek mužů na jistou smrt, je degradov
Autor:
Azizov, Majidkhan
In this work, we obtain the description of all homogeneous anti-Rota-Baxter operators on Witt and Virasoro algebras. Moreover, we describe anti-Rota-Baxter operators on three-dimensional simple Lie algebra $sl_2.$
Externí odkaz:
http://arxiv.org/abs/2411.14731
In this paper, we give the necessary and sufficient conditions of the integrability of relative Rota-Baxter Lie algebras via double Lie groups, matched pairs of Lie groups and factorization of diffeomorphisms respectively. We use the integrability of
Externí odkaz:
http://arxiv.org/abs/2410.23547
Autor:
Teng, Wen, Xiao, Yunpeng
In this paper, we first define twisted Rota-Baxter family operators on Hom-associative algebras indexed by a semigroup $\Omega$. Then we introduce and study Hom-NS-family algebras as the underlying structures of twisted Rota-Baxter family operators.
Externí odkaz:
http://arxiv.org/abs/2410.20175
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
Autor:
Quanguo, Chen, Yong, Deng
In this paper, we shall describe all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Firstly, we give the matrix characterization of the Rota-Baxter operator on split semi-quaternion algebra. Then we give the corresponding
Externí odkaz:
http://arxiv.org/abs/2409.07699
Rota-Baxter operators on various structures have found important applications in diverse areas, from renormalization of quantum field theory to Yang-Baxter equations. Relative Rota-Baxter operators on Lie algebras are closely related to pre-Lie algeb
Externí odkaz:
http://arxiv.org/abs/2408.06096
Autor:
Gong, Xiaoqian, Wang, Shoufeng
As generalizations of Rota--Baxter groups, Rota--Baxter Clifford semigroups have been introduced by Catino, Mazzotta and Stefanelli in 2023. Based on their pioneering results, in this paper we first continue to study Rota--Baxter Clifford semigroups.
Externí odkaz:
http://arxiv.org/abs/2407.19722
Autor:
Sciandra, Andrea
Recently, Li, Sheng and Tang introduced post-Hopf algebras and relative Rota-Baxter operators (on cocommutative Hopf algebras), providing an adjunction between the respective categories under the assumption that the structures involved are cocommutat
Externí odkaz:
http://arxiv.org/abs/2407.17922
In this paper, we first introduce the concept of Rota-Baxter family BiHom-$\Omega$-associative algebras, then we define the cochain complex of BiHom-$\Omega$-associative algebras and verify it via Maurer-Cartan methods. Next, we further introduce and
Externí odkaz:
http://arxiv.org/abs/2407.17323