4 papers
Homological properties of quantum groups governed by small quantum groups
Yimin Huang, Tiancheng Qi, Quanshui Wu +1
We develop a general characteristic-free framework for studying the homological properties of a broad class of module-finite Hopf algebras. This framework makes it possible to redu…
Chevalley property of module-finite Hopf algebras and discriminant ideals
Yimin Huang, Tiancheng Qi, Quanshui Wu +1
In this paper, we study the Chevalley property of Cayley-Hamilton Hopf algebras in the sense of De Concini-Procesi-Reshetikhin-Rosso using discriminant ideals. For any affine Cayle…
Chevalley property and discriminant ideals of Cayley-Hamilton Hopf Algebras
Yimin Huang, Zhongkai Mi, Tiancheng Qi +1
For any affine Hopf algebra which admits a large central Hopf subalgebra, can be endowed with a Cayley-Hamilton Hopf algebra structure in the sense of De Concini-Procesi-Re…
Twisted Poincaré duality for orientable Poisson manifolds
Tiancheng Qi, Quanshui Wu
We geometrize the constructions of twisted Poisson modules introduced by Luo-Wang-Wu, and Poisson chain complexes with coefficients in Poisson modules defined in the algebraic sett…