Zobrazeno 1 - 10
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pro vyhledávání: '"Ma, Tianshui"'
Autor:
Ma, Tianshui, Song, Feiyan
In this paper, on one hand, based on the classical perm Yang-Baxter equation, we investigate under what conditions a perm algebra must be a Nijenhuis perm algebra. On the other hand, we derive the compatible conditions between classical perm Yang-Bax
Externí odkaz:
http://arxiv.org/abs/2410.07496
Leibniz algebras can be seen as a ``non-commutative" analogue of Lie algebras. Nijenhuis operators on Leibniz algebras introduced by Cari\~{n}ena, Grabowski, and Marmo in [J. Phys. A: Math. Gen. 37(2004)] are (1, 1)-tensors with vanishing Nijenhuis t
Externí odkaz:
http://arxiv.org/abs/2310.14267
Autor:
Ma, Tianshui, Makhlouf, Abdenacer
The aim of this paper is to investigate representation theory of infinitesimal (BiHom-)bialgebras of any weight $\l$ (abbr. $\l$-inf(BH)-bialgebras). Firstly, inspired by the well-known Majid-Radford's bosonization theory in Hopf algebra theory, we p
Externí odkaz:
http://arxiv.org/abs/2310.09975
Autor:
Ma, Tianshui, Makhlouf, Abdenacer
The purpose of this paper is to introduce and study $\lambda$-infinitesimal BiHom-bialgebras (abbr. $\l$-infBH-bialgebra) and some related structures. They can be seen as an extension of $\l$-infinitesimal bialgebras considered by Ebrahimi-Fard, incl
Externí odkaz:
http://arxiv.org/abs/2309.01758
This paper studies the relationship of Rota-Baxter operators on cocommutative Hopf algebras with Hopf braces and the Yang-Baxter equation, with emphasis on the embedding of cocommutative Hopf braces into Rota-Baxter Hopf algebras. Through Hopf braces
Externí odkaz:
http://arxiv.org/abs/2304.07684
We establish a bialgebra structure on Rota-Baxter Lie algebras following the Manin triple approach to Lie bialgebras. Explicitly, Rota-Baxter Lie bialgebras are characterized by generalizing matched pairs of Lie algebras and Manin triples of Lie alge
Externí odkaz:
http://arxiv.org/abs/2207.08703
Publikováno v:
Comm. Algebra 50(10)(2022), 4517-4535
Let $H$ be a bialgebra. Let $\sigma: H\otimes H\to A$ be a linear map, where $A$ is a left $H$-comodule coalgebra, and an algebra with a left $H$-weak action $\triangleright$. Let $\tau: H\otimes H\to B$ be a linear map, where $B$ is a right $H$-como
Externí odkaz:
http://arxiv.org/abs/2205.06433
Autor:
Ma, Tianshui, Li, Bei
Publikováno v:
Comm. Algebra 51(2)(2023),528-551
In this paper, we introduce the concept of transposed BiHom-Poisson (abbr. TBP) algebras which can be constructed by the BiHom-Novikov-Poisson algebras. Several useful identities for TBP algebras are provided. We also prove that the tensor product of
Externí odkaz:
http://arxiv.org/abs/2201.00271
Rota-Baxter operators and bialgebras go hand in hand in their applications, such as in the Connes-Kreimer approach to renormalization and the operator approach to the classical Yang-Baxter equation. We establish a bialgebra structure that is compatib
Externí odkaz:
http://arxiv.org/abs/2112.10928