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In this paper the induced homology map of spinor group on its base-pointed loop space is computed and we deduce the Hopf algebra structure of the homology ring of the free loop group of Spin ( N ).
We introduce a concept of quantum Lie algebra compatible with Woronowicz's differential calculus. We construct a cohomological theory for these quantum Lie algebras. We give a quantum version of the van Est theorem which leads to a comparison between the cohomology of a Lie algebra and the...
In this paper we continue the study, begun in (7), of properties of the ring HA of Hurwitz series over a commutative ring A with identity. In particular, we show that with its “natural” topology, HA is a complete metric space, and all of the natural mappings are continuous. Further, there is...
We show that a ring is a Krull ring if and only if every nonzero regular prime ideal contains a t-invertible prime ideal if and only if every proper regular principal ideal is quasi-equal to a product of prime ideals.
We give a complete characterization of a certain class of quasi-Baer rings which have a sheaf representation (by a “sheaf representation” of a ring the authors mean a sheaf representation whose base space is Spec (R) and whose stalks are the quotients R/O(P) , where P is a prime ideal of R...
In this article we prove results concerning the vanishing of Koszul cohomology groups on K3 surfaces and n -dimensional Fano varieties of index n−2 . As an application of these vanishings we obtain results on projective normality and syzygies for K3 surfaces and Fano varieties.
The main goal of this paper is to establish a Goresky–MacPherson formula for subspace arrangements in characteristic p . A special form of the formula is applied to provide a lower bound on the arithmetical rank of monomial ideals.
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