Shizhuo Yu

activity

20182021

most citedConfiguration Poisson groupoids of flags

2 citations · 2 across the 2 of their papers we have counts for

collaborators

4 papers

math.RA2023

Manin triples associated to $n$ -Lie bialgebras

Ying Chen, Chuangchuang Kang, Jiafeng Lü +1

In this paper, we study the Manin triples associated to $n$ -Lie bialgebras. We introduce the concept of operad matrices for $n$ -Lie bialgebras. In particular, by studying a special…

math.SG2021★ 2 cited

Configuration Poisson groupoids of flags

Jiang-Hua Lu, Victor Mouquin, Shizhuo Yu

Let $G$ be a connected complex semi-simple Lie group and $B$ its flag variety. For every positive integer $n$ , we introduce a Poisson groupoid over $B^{n}$ , c…

math.RT2019

Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces

Jiang-Hua Lu, Shizhuo Yu

Let $G$ be a connected and simply connected complex semisimple Lie group. For a collection of homogeneous $G$ -spaces $G / Q$ , we construct a finite atlas ${\mathcal{A}}_{\rm BS}(G/Q)…

math.AG2018

On the standard Poisson structure and a Frobenius splitting of the basic affine space

Jun Peng, Shizhuo Yu

The goal of this paper is to construct a Frobenius splitting on $G / U$ via the Poisson geometry of $(G / U, π_{G / U})$ , where $G$ is a semi-simple algebraic group of classical type defi…

Manin triples associated to n-Lie bialgebras

Configuration Poisson groupoids of flags

Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces

On the standard Poisson structure and a Frobenius splitting of the basic affine space

Manin triples associated to $n$ -Lie bialgebras