Centralizers of Nilpotent Elements in Basic Classical Lie Superalgebras in Good Characteristic [0.03%]
优良奇特征下典型基本李超代数中幂零元素的中心化子
Leyu Han
Leyu Han
Let g = g 0 ¯ ⊕ g 1 ¯ be a basic classical Lie superalgebra over an algebraically closed field K whose characteristic p > 0 is a good prime for g . Let G 0 ¯ be the reductive algebraic group over K such that L...
Michael Wibmer
Michael Wibmer
We present an elementary proof of the fact that every torsor under an affine group scheme over an algebraically closed field is trivial. This is related to the uniqueness of fibre functors on neutral Tannakian categories. ...
Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation [0.03%]
扭结的分级量子群和量子Yang-Baxter方程的解
Hongdi Huang,Van C Nguyen,Charlotte Ure et al.
Hongdi Huang et al.
Let H be a Hopf algebra that is ℤ -graded as an algebra. We provide sufficient conditions for a 2-cocycle twist of H to be a Zhang twist of H. In particular, we introduce the notion of a twisting pair for H such that the Zhang twist o...
On Morphisms Between Connected Commutative Algebraic Groups over a Field of Characteristic 0 [0.03%]
数字符号为0的域上连通交换代数群之间的态射关于态射的结构理论
Gabriel A Dill
Gabriel A Dill
Let K be a field of characteristic 0 and let G and H be connected commutative algebraic groups over K. Let Mor0(G,H) denote the set of morphisms of algebraic varieties G → H that map the neutral element to the neutral element. We construct...