منابع مشابه
Group Actions on Algebras and Module Categories
Let k be a field and A a finite dimensional (associative with 1) k-algebra. By modA we denote the category of finite dimensional left A-modules. In many important situations we may suppose that A is presented as a quiver with relations (Q, I) (e.g. if k is algebraically closed, then A is Morita equivalent to kQ/I). We recall that if A is presented by (Q, I), then Q is a finite quiver and I is a...
متن کاملTransformation Double Categories Associated to 2-group Actions
Transformation groupoids associated to group actions capture the interplay between global and local symmetries of structures described in set-theoretic terms. This paper examines the analogous situation for structures described in categorytheoretic terms, where symmetry is expressed as the action of a 2-group G (equivalently, a categorical group) on a category C. It describes the construction o...
متن کاملArtin group actions on derived categories of threefolds
Motivated by the enhanced gauge symmetry phenomenon of the physics literature and mirror symmetry, this paper constructs an action of an Artin group on the derived category of coherent sheaves of a smooth quasiprojective threefold containing a configuration of ruled surfaces described by a finite type Dynkin diagram. The action extends over deformations of the threefold via a compatible action ...
متن کاملBraid Group Actions on Derived Categories of Coherent Sheaves
This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety X. The motivation for this is M. Kontsevich’s homological mirror conjecture, together with the occurrence of certain braid group actions in symplectic geometry. One of the main results is that when dimX ≥ 2, our braid group actions are always faithful. We describe conjectural mirror s...
متن کاملBraid group actions on categories of coherent sheaves
In this talk we will construct, following the recent paper [BR] by Bezrukavnikov and Riche, actions of certain groups on certain categories. Both the groups and the categories are relevant in representation theory, but all currently known constructions of the action are given by explicitly constructing action by generators and checking relations between them — this is what we will do. There are...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2018
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-018-1031-2