Add to ORKGIn an earlier paper Raphael Rouquier and the author introduced the group of self-equivalences of a derived category. In the case of a Brauer tree algebra we determined a non trivial homomorphism of the Artin braid group to this group of self-equivalences. The class of Brauer tree algebras include blocks of nite group rings over a large enough eld with cyclic defect groups. In the present paper we give an integral version of this homomorphism Moreover, we identify some interesting arithmetic subgroups with natural groups of self-equivalences of the derived category
Using the result of Roggenkamp and Scott [33] that the p-adic group ring of a p-group determines its...
Simple groups of Lie type and linear algebraic groups have a long history and play an important role...
AbstractWe investigate a group B• that includes Artin's braid group B∞ and Thompson's group F. The e...
Let k be a eld and A be a Brauer tree algebra associated with a Brauer tree with possibly non trivia...
AbstractIn this article we introduce the class of the generalised Brauer tree algebras, which is a s...
In this thesis we study gradings on blocks of group algebras. The motivation to study gradings on bl...
In this thesis we study gradings on blocks of group algebras. The motivation to study gradings on bl...
For each n=1, we define an algebra having many properties that one might expect to hold for a Brauer...
We give a moduli interpretation of the outer automorphism group Out of a finite-dimensional algebra ...
AbstractGreen-orders (tree-orders) in the classical one-dimensional case are the setting, to underst...
For each n=1, we define an algebra having many properties that one might expect to hold for a Brauer...
AbstractClifford theory provides well behaved character correspondences between different groups whi...
Trees, sometimes called semilinear orders, are partially ordered sets in which every initial segment...
AbstractBroué's abelian defect conjecture [Astérisque 181/182 (1990) 61–92, 6.2] predicts for a p-bl...
Let G be a finite group. Given a contravariant, product preserving functor F:G-sets → AB, we constru...
Using the result of Roggenkamp and Scott [33] that the p-adic group ring of a p-group determines its...
Simple groups of Lie type and linear algebraic groups have a long history and play an important role...
AbstractWe investigate a group B• that includes Artin's braid group B∞ and Thompson's group F. The e...
Let k be a eld and A be a Brauer tree algebra associated with a Brauer tree with possibly non trivia...
AbstractIn this article we introduce the class of the generalised Brauer tree algebras, which is a s...
In this thesis we study gradings on blocks of group algebras. The motivation to study gradings on bl...
In this thesis we study gradings on blocks of group algebras. The motivation to study gradings on bl...
For each n=1, we define an algebra having many properties that one might expect to hold for a Brauer...
We give a moduli interpretation of the outer automorphism group Out of a finite-dimensional algebra ...
AbstractGreen-orders (tree-orders) in the classical one-dimensional case are the setting, to underst...
For each n=1, we define an algebra having many properties that one might expect to hold for a Brauer...
AbstractClifford theory provides well behaved character correspondences between different groups whi...
Trees, sometimes called semilinear orders, are partially ordered sets in which every initial segment...
AbstractBroué's abelian defect conjecture [Astérisque 181/182 (1990) 61–92, 6.2] predicts for a p-bl...
Let G be a finite group. Given a contravariant, product preserving functor F:G-sets → AB, we constru...
Using the result of Roggenkamp and Scott [33] that the p-adic group ring of a p-group determines its...
Simple groups of Lie type and linear algebraic groups have a long history and play an important role...
AbstractWe investigate a group B• that includes Artin's braid group B∞ and Thompson's group F. The e...