On Hochschild and cyclic homology of certain homogeneous spaces
نویسندگان
چکیده
منابع مشابه
Hochschild homology of certain Soergel bimodules
The Soergel bimodules were introduced by Soergel in [9, 10] in the context of the infinite-dimensional representation theory of simple Lie algebra and Kazhdan-Lusztig theory. They have nice explicit expression as the tensor products of the rings of polynomials invariant under the action of a symmetric group, tensored over rings of the same form. Moreover, there are various quite different inter...
متن کاملLocalization Theorems in Topological Hochschild Homology and Topological Cyclic Homology
We construct localization cofiber sequences for the topological Hochschild homology (THH) and topological cyclic homology (TC) of spectral categories. Using a “global” construction of the THH and TC of a scheme in terms of the perfect complexes in a spectrally enriched version of the category of unbounded complexes, the sequences specialize to localization cofiber sequences associated to the in...
متن کاملHochschild and Cyclic Homology of Centrally Hopf-galois Extensions
Let B ⊆ A be an H-Galois extension. If M is a Hopf bimodule then HH∗(A, M), the Hochschild homology of A with coefficients in M , is a right comodule over the coalgebra CH = H/[H,H]. Given an injective left CHcomodule V , our aim is to investigate the relationship between HH∗(A, M) CHV and HH∗(B, M CHV ). The roots of this problem can be found in [Lo2], where HH∗(A,A) G and HH∗(B,B) are shown t...
متن کاملHochschild and Cyclic Homology of Finite Type Algebras
We study Hochschild and cyclic homology of finite type algebras using abelian stratifications of their primitive ideal spectrum. Hochschild homology turns out to have a quite complicated behavior, but cyclic homology can be related directly to the singular cohomology of the strata. We also briefly discuss some connections with the representation theory of reductive p–adic groups.
متن کاملHochschild and cyclic homology of Yang-Mills algebras
The aim of this article is to compute the Hochschild and cyclic homology groups of the Yang-Mills algebras YM(n) (n ∈ N≥2) defined by A. Connes and M. Dubois-Violette in [CD1], continuing thus the study of these algebras that we have initiated in [HS]. The computation involves the use of a spectral sequence associated to the natural filtration on the universal enveloping algebra YM(n) provided ...
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: Czechoslovak Mathematical Journal
سال: 1993
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1993.128437