Twisted Hochschild Homology of Quantum Hyperplanes
نویسنده
چکیده
We calculate the Hochschild dimension of quantum hyperplanes using the twisted Hochschild homology.
منابع مشابه
Twisted cyclic homology of all Podles̀ quantum spheres
We calculate the twisted Hochschild and cyclic homology (in the sense of Kustermans, Murphy and Tuset) of all Podles̀ quantum spheres relative to an arbitary automorphism. Our calculations are based on a free resolution due to Masuda, Nakagami and Watanabe.
متن کاملEquivariant K-theory, twisted Chern character, index pairings, Poincaré duality and orientation for the standard Podleś sphere
The noncommutative spin geometry of the standard Podleś sphere is analyzed and known results are extended by establishing Poincaré duality and orientability. In the discussion of orientability, Hochschild homology is replaced by a twisted version which avoids the dimension drop. The twisted Hochschild cycle representing an orientation is related to the volume form of the distinguished covariant...
متن کاملHochschild cohomology group of quantum matrices and the quantum special linear group
We calculate the first Hochschild cohomology group of quantum matrices, the quantum general linear group and the quantum special linear group in the generic case when the deformation parameter is not a root of unity. As a corollary, we obtain information about twisted Hochschild homology of these algebras. 2000 Mathematics subject classification: 16E40, 16W35, 17B37, 17B40, 20G42
متن کاملTwisted Poisson duality for some quadratic Poisson algebras
We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R = C[X1, . . . , Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space. This Poisson module is obtained as the semiclassical limit of the dualising bimodule for Hochschild homology of the corresponding quantum affine space. As a coro...
متن کاملOn the noncommutative spin geometry of the standard Podleś sphere and index computations
The purpose of the paper is twofold: First, known results of the noncommutative spin geometry of the standard Podleś sphere are extended by discussing Poincaré duality and orientability. In the discussion of orientability, Hochschild homology is replaced by a twisted version which avoids the dimension drop. The twisted Hochschild cycle representing an orientation is related to the volume form o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004