The relative dihedral homology of involutive algebras.
The representation dimension of domestic weakly symmetric algebras
Auslander’s representation dimension measures how far a finite dimensional algebra is away from being of finite representation type. In [1], M. Auslander proved that a finite dimensional algebra A is of finite representation type if and only if the representation dimension of A is at most 2. Recently, R. Rouquier proved that there are finite dimensional algebras of an arbitrarily large finite representation dimension. One of the exciting open problems is to show that all finite dimensional algebras...
The Roquette category of finite -groups
Let be a prime number. This paper introduces the Roquette category of finite -groups, which is an additive tensor category containing all finite -groups among its objects. In , every finite -group admits a canonical direct summand , called the edge of . Moreover splits uniquely as a direct sum of edges of Roquette -groups, and the tensor structure of can be described in terms of such edges. The main motivation for considering this category is that the additive functors from to...
The Schur Multipliers of Sp6(Z),Spin8(Z),Spin7(Z),andF4(Z).
The semigroup of Fredholm operators.
The separated extensional Chu category.
The shape of a category up to directed homotopy.
The shift functor and the comprehensive factorization for internal groupoids
The six operations for sheaves on Artin stacks II: Adic coefficients
The spectrum of a separated presheaf and the relation between totally fuzzy subsets and fuzzy subsets; application to fuzzy topology
The split building of a reductive group.
The stable range of C*-algebras.
The stack of microlocal perverse sheaves
In this paper we construct the abelian stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Following ideas of Andronikof we first consider microlocal perverse sheaves at a point using classical tools from microlocal sheaf theory. Then we will use Kashiwara-Schapira’s theory of analytic ind-sheaves to globalize our construction. This presentation allows us to formulate explicitly a global microlocal Riemann-Hilbert correspondence.
The stack quotient of a groupoid
The strong amalgamation property and (effective) codescent morphisms.
The structure of initial completions
The structure of tangentors and their morphisms
The structure of the 2-Sylow-subgroup of K2(...), I.
The structure of the tensor product of with a finite functor between -vector spaces
The paper studies the structure of functors in the category of functors from finite dimensional -vector spaces to -vector spaces, where is a finite functor and is the injective functor . A detection theorem is proved for sub-functors of such functors, which is the basis of the proof that the functors are artinian of type one.
The surgery L-groups of poly-(finite or cyclic) groups.