Hochschild cohomology and derived Picard groups

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hochschild Cohomology and Derived Picard Groups

We interpret Hochschild cohomology as the Lie algebra of the derived Picard group and deduce that it is preserved under derived equivalences.

متن کامل

Hochschild Cohomology and Linckelmann Cohomology for Blocks of Finite Groups

Let G be a finite group, F an algebraically closed field of finite characteristic p, and let B be a block of FG. We show that the Hochschild and Linckelmann cohomology rings of B are isomorphic, modulo their radicals, in the cases where (1) B is cyclic and (2) B is arbitrary and G either a nilpotent group or a Frobenius group (p odd). (The second case is a consequence of a more general result)....

متن کامل

Crossed Interval Groups and Operations on the Hochschild Cohomology

We introduce crossed interval groups and construct a crossed interval analog IS of the Fiedorowicz-Loday symmetric category ∆S. We prove that the functor FS(−) of the free IS-extension of an I-object does not change homotopy type. We then observe that the operad B of natural operations on the Hochschild cohomology equals FS(T ), where T is an operad whose homotopy type is known. We conclude fro...

متن کامل

Finite Groups Acting Linearly: Hochschild Cohomology and the Cup Product

When a finite group acts linearly on a complex vector space, the natural semi-direct product of the group and the polynomial ring over the space forms a skew group algebra. This algebra plays the role of the coordinate ring of the resulting orbifold and serves as a substitute for the ring of invariant polynomials from the viewpoint of geometry and physics. Its Hochschild cohomology predicts var...

متن کامل

Hochschild cohomology, the characteristic morphism and derived deformations

A notion of Hochschild cohomology HH∗(A) of an abelian category A was defined by Lowen and Van den Bergh (2005) and they showed the existence of a characteristic morphism χ from the Hochschild cohomology of A into the graded centre Z∗(Db(A)) of the bounded derived category of A. An element c ∈ HH2(A) corresponds to a first order deformation Ac of A (Lowen and Van den Bergh, 2006). The problem o...

متن کامل

ذخیره 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: Journal of Pure and Applied Algebra

سال: 2004

ISSN: 0022-4049

DOI: 10.1016/j.jpaa.2003.10.030