Botong Gai

collaborators

4 papers

nlin.SI2025

BiHom-Lie brackets and the Toda equation

Botong Gai, Chuanzhong Li, Jiacheng Sun +2

We introduce a BiHom-type skew-symmetric bracket on $gl (V)$ built from two commuting inner automorphisms $I^\pm = A d_{I ¨} $ and $I^^{2} = A d_{I ¨} $ with $I ¨ , I ¨ \in gl (V)$ and i…

math.RA2025

Rota-Baxter type $H$ -operators on pseudoalgebras

Botong Gai, Shuanhong Wang

Let $H$ be a Hopf algebra. In this paper, we study a class of $H$ -operators on $H$ -pseudoalgebras, which resemble the Rota-Baxter $H$ -operator, and they are called Rota-Baxter type…

math.RA2025

Radford $[(m, k), m]$ -biproduct Theorem for Generalized Hom-crossed Products

Botong Gai, Shuanhong Wang

In this paper, we mainly provide a new approache to construct Hom-Hopf algebras. For this, we introduce and study the notion of a left $(m, k)$ -Hom-crossed product structure as a ge…

math.RA2025

A classification of pre-Lie $H$ -pseudoalgebras of low ranks

Botong Gai

Let $H = U (I^´)$ be the universal enveloping algebra of finite dimension Lie algebra $I^´$ . The central result of the paper is the classification of pre-Lie $H$ -pseudoalgebras of low r…

BiHom-Lie brackets and the Toda equation

Rota-Baxter type H-operators on pseudoalgebras

Radford [(m,k),m]-biproduct Theorem for Generalized Hom-crossed Products

A classification of pre-Lie H-pseudoalgebras of low ranks

Rota-Baxter type $H$ -operators on pseudoalgebras

Radford $[(m, k), m]$ -biproduct Theorem for Generalized Hom-crossed Products

A classification of pre-Lie $H$ -pseudoalgebras of low ranks