منابع مشابه
Schur functors and motives
In [Kim], Kimura introduced the notion of a “finite dimensional” motive (which we will refer to as “Kimura-finite” motive) and he conjectured that all Q-linear motives modulo rational equivalence are Kimura-finite. The same notion was introduced independently in a different context by O’Sullivan. Kimura-finiteness has been the subject of several articles recently ([GP02], [GP], [AK02]). In [GP]...
متن کاملProject Summary: quantizing Schur functors
Geometric complexity theory (GCT) is an approach to P vs. NP and related problems in complexity theory using algebraic geometry and representation theory. A fundamental problem in representation theory, believed to be important for this approach, is the Kronecker problem, which asks for a positive combinatorial formula for the multiplicity gλμν of an irreducible representation Mν of the symmetr...
متن کاملSpin Polynomial Functors and Representations of Schur Superalgebras
We introduce categories of homogeneous strict polynomial functors, Pold,k and Pol II d,k, defined on vector superspaces over a field k of characteristic not equal 2. These categories are related to polynomial representations of the supergroups GL(m|n) and Q(n). In particular, we prove an equivalence between Pold,k, Pol II d,k and the category of finite dimensional supermodules over the Schur su...
متن کاملSingularity Categories, Schur Functors and Triangular Matrix Rings
We study certain Schur functors which preserve singularity categories of rings and we apply them to study the singularity category of triangular matrix rings. In particular, combining these results with Buchweitz–Happel’s theorem, we can describe singularity categories of certain non-Gorenstein rings via the stable category of maximal Cohen–Macaulay modules. Three concrete examples of finitedim...
متن کاملFixed-point functors for symmetric groups and Schur algebras
Let Σd be the symmetric group. For 1 < m < d let Fm be the functor which takes a Σd module U to the space of fixed points UΣm , which is naturally a module for Σd−m. This functor was previously used by the author to study cohomology of the symmetric group, but little is known about it. This paper initiates a study of Fm. First, we relate it to James’ work on row and column removal and decomposi...
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: Advances in Mathematics
سال: 1982
ISSN: 0001-8708
DOI: 10.1016/0001-8708(82)90039-1