Yuanyuan Zhang

activity

20192026

most citedFamilies of algebraic structures

6 citations · 11 across the 8 of their papers we have counts for

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math.RA2022

Free $Ω$ -Rota-Baxter systems and Gröbner-Shirshov bases

Yuanyuan Zhang, Huhu Zhang, Xing Gao

In this paper, we propose the concept of an $Ω$ -Rota-Baxter system, which is a generalization of a Rota-Baxter system and an $Ω$ -Rota-Baxter algebra of weight zero. In the framewor…

math.RT2022

A Whittaker category for the Symplectic Lie algebra

Yang Li, Jun Zhao, Yuanyuan Zhang +1

For any $n \in Z_{\geq 2}$ , let $m_{n}$ be the subalgebra of $sp_{2 n}$ spanned by all long negative root vectors $X_{- 2 ε_{i}}$ , $i = 1, \dots, n$ . An $\mathfr…

Free Ω-Rota-Baxter systems and Gröbner-Shirshov bases

A Whittaker category for the Symplectic Lie algebra

Free $Ω$ -Rota-Baxter systems and Gröbner-Shirshov bases