36 citations · 56 across the 8 of their papers we have counts for
8 papers
Manin triples associated to -Lie bialgebras
Ying Chen, Chuangchuang Kang, Jiafeng Lü +1
In this paper, we study the Manin triples associated to -Lie bialgebras. We introduce the concept of operad matrices for -Lie bialgebras. In particular, by studying a special…
Polyubles, Poisson homogeneous spaces and multi-flag varieties
Shaoqiang Deng, Chuangchuang Kang, Shizhuo Yu
A polyuble of a Manin triple can be regarded as the ``-th power'' of it, which plays an important rule in the study of Poisson geometry, mathematical physics and Lie theory. In…
Configuration Poisson groupoids of flags
Jiang-Hua Lu, Victor Mouquin, Shizhuo Yu
Let be a connected complex semi-simple Lie group and its flag variety. For every positive integer , we introduce a Poisson groupoid over , c…
Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces
Jiang-Hua Lu, Shizhuo Yu
Let be a connected and simply connected complex semisimple Lie group. For a collection of homogeneous -spaces , we construct a finite atlas ${\mathcal{A}}_{\rm BS}(G/Q)…
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 via the Poisson geometry of , where is a semi-simple algebraic group of classical type defi…
Taxonomic Provenance: Two Influential Primate Classifications Logically Aligned
Nico M. Franz, Naomi M. Pier, DeAnn M. Reeder +5
Classification standards such as the Mammal Species of the World (MSW) aim to unify name usages at the global scale, but may nevertheless experience significant levels of taxonomic…
Reasoning over Taxonomic Change: Exploring Alignments for the Perelleschus Use Case
Nico M. Franz, Mingmin Chen, Shizhuo Yu +3
Classifications and phylogenetic inferences of organismal groups change in light of new insights. Over time these changes can result in an imperfect tracking of taxonomic perspecti…
Euler/X: A Toolkit for Logic-based Taxonomy Integration
Mingmin Chen, Shizhuo Yu, Nico Franz +2
We introduce Euler/X, a toolkit for logic-based taxonomy integration. Given two taxonomies and a set of alignment constraints between them, Euler/X provides tools for detecting, ex…