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Showing 2005Show all

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math.NT2005

On the faithfulness of parabolic cohomology as a Hecke module over a finite field

Gabor Wiese

In this article we prove conditions under which a certain parabolic group cohomology space over a finite field F is a faithful module for the Hecke algebra of Katz modular forms ov…

math.NT2005★ 1 cited

On modular symbols and the cohomology of Hecke triangle surfaces

Gabor Wiese

The aim of this article is to give a concise algebraic treatment of the modular symbols formalism, generalised from modular curves to Hecke triangle surfaces. A sketch is included…

math.QA2005★ 1 cited

Higher Genus Affine Lie Algebras of Krichever -- Novikov Type

Martin Schlichenmaier

Classical affine Lie algebras appear e.g. as symmetries of infinite dimensional integrable systems and are related to certain differential equations. They are central extensions of…

math.DG2005

On quantum and classical Poisson algebras

Janusz Grabowski, Norbert Poncin

Results on derivations and automorphisms of some quantum and classical Poisson algebras, as well as characterizations of manifolds by the Lie structure of such algebras, are revisi…

math.SG2005

On a general approach to the formal cohomology of quadratic Poisson structures

Mohsen Masmoudi, Norbert Poncin

We propose a general approach to the formal Poisson cohomology of -matrix induced quadratic structures, we apply this device to compute the cohomology of structure 2 of the Dufo…

math.PR2005★ 461 cited

Central limit theorems for sequences of multiple stochastic integrals

David Nualart, Giovanni Peccati

We characterize the convergence in distribution to a standard normal law for a sequence of multiple stochastic integrals of a fixed order with variance converging to 1. Some applic…