منابع مشابه
The equivariant Orlik-Solomon algebra
Abstract. Given a real hyperplane arrangement A, the complement M(A) of the complexification of A admits an action of the group Z2 by complex conjugation. We define the equivariant Orlik-Solomon algebra of A to be the Z2-equivariant cohomology ring of M(A) with coefficients in the field F2. We give a combinatorial presentation of this ring, and interpret it as a deformation of the ordinary Orli...
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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...
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For a space X acted by a finite group Γ, the product space X affords a natural action of the wreath product Γn = Γ n ⋊ Sn. The direct sum of equivariant K-groups ⊕ n≥0 KΓn(X )⊗C were shown earlier by the author to carry several interesting algebraic structures. In this paper we study the Kgroups K H̃Γn (X) of Γn-equivariant Clifford supermodules on X . We show that F Γ (X) = ⊕ n≥0 H̃Γn (X)⊗ C is ...
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For the root system of type A we introduce and study a certain extension of the quadratic algebra invented by S. Fomin and the first author, to construct a model for the equivariant cohomology ring of the corresponding flag variety. As an application of our construction we describe a generalization of the equivariant Pieri rule for double Schubert polynomials. For a general finite Coxeter syste...
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In [5] we constructed an abelian category A(G) of sheaves over a category of closed subgroups of the r-torus G and showed it can be used as the basis of a finite Adams spectral sequence for calculating groups of stable G-maps. In the present paper we make an algebraic study of the category A(G). We show how to separate information from isotropy groups with the same identity component, giving an...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2006
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2006.08.013