منابع مشابه
Cyclic Cohomology of the Weyl Algebra
We give an explicit formula for sp2n-basic representatives of the cyclic cohomology of the Weyl algebra HC(A2n). This paper can be seen as cyclic addendum to the paper [6] by Feigin, Felder and Shoikhet, where the analogous Hochschild case was treated. As an application, we prove a generalization of a Theorem of Nest and Tsygan concerning the relation of the Todd class and the cyclic cohomology...
متن کاملHopf Algebra Equivariant Cyclic Cohomology, K-theory and Index Formulas
For an algebra B with an action of a Hopf algebra H we establish the pairing between equivariant cyclic cohomology and equivariant K-theory for B. We then extend this formalism to compact quantum group actions and show that equivariant cyclic cohomology is a target space for the equivariant Chern character of equivariant summable Fredholm modules. We prove an analogue of Julg’s theorem relating...
متن کاملHochschild Cohomology of the Weyl Algebra and Traces in Deformation Quantization
We give a formula for a cocycle generating the Hochschild cohomology of the Weyl algebra with coefficients in its dual. It is given by an integral over the configuration space of ordered points on a circle. Using this formula and a non-commutative version of formal geometry, we obtain an explicit expression for the canonical trace in deformation quantization of symplectic manifolds.
متن کاملThe integer cohomology of toric Weyl arrangements
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we prove that if T W̃ is the toric arrangement defined by the cocharacters lattice of a Weyl group W̃ , then the integer cohomology of its complement is torsion free.
متن کاملQuantum Weyl Reciprocity for Cohomology
Classical Weyl reciprocity relates the representation theories of the general linear group GLnðkÞ and the symmetric group Sr by means of the ðGLnðkÞ;SrÞ-bimodule T :1⁄4 V , where V 1⁄4 k. For example, when k 1⁄4 C, the poset 0þðn; rÞ of partitions of r with at most n non-zero parts indexes the irreducible polynomial GLnðCÞ-modules Lð Þ, which are homogeneous of degree r, and a subset of the com...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2015
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.10.054