Rea Dalipi,Giovanni Felder,Anfisa Gurenkova
Rea Dalipi
We give a fermionic formula for R-matrices of exterior powers of the vector representations of U q ( gl ^ N ) and relate it to the dynamical Weyl group of Tarasov-Varchenko and Etingof-Varchenko, via a Howe ( gl N , gl M ) -duality. I...
Multi-centered Dilatations, Congruent Isomorphisms and Rost Double Deformation Space [0.03%]
多中心扩张、全等同构与Rostral双重形变空间
Arnaud Mayeux
Arnaud Mayeux
We introduce multi-centered dilatations of rings, schemes and algebraic spaces, a basic algebraic concept. Dilatations of schemes endowed with a structure (e.g., monoid, group or Lie algebra) are in favorable cases schemes endowed with the ...
On an Equivalence of Divisors on [Formula: see text] from Gromov-Witten Theory and Conformal Blocks [0.03%]
源于Gromov-Witten理论和共形保角块的[Formula: see text]上除数等价性的一种方法
L Chen,A Gibney,L Heller et al.
L Chen et al.
We consider a conjecture that identifies two types of base point free divisors on M ¯ 0 , n . The first arises from Gromov-Witten theory of a Grassmannian. The second comes from first Chern classes of vector bundles associated wi...
Automorphism Groups of Deformations and Quantizations of Kleinian Singularities [0.03%]
克莱因奇点的形变与量子化的自同构群
Simone Castellan
Simone Castellan
It is known that, for the algebra of functions on a Kleinian singularity, the parameter space of deformations and the parameter space of quantizations coincide. We prove that, for a Kleinian singularity of type A or D , isomorphisms between...
Tanguy Vernet
Tanguy Vernet
We prove that the zero-fiber of the moment map of a totally negative quiver has rational singularities. Our proof consists in generalizing dimension bounds on jet spaces of this fiber, which were introduced by Budur. We also transfer the ra...
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...