Results 61 to 70 of about 75,652 (194)
The Relative Lie Algebra Cohomology of the Weil Representation of SO(n,1) [PDF]
, 2015 In Part 1 of this paper we construct a spectral sequence converging to the relative Lie algebra cohomology associated to the action of any subgroup $G$ of the symplectic group on the polynomial Fock model of the Weil representation, see Section 7.
Bergeron, Nicolas +2 more
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Cohomology of Coxeter groups and Artin groups [PDF]
Mathematical Research Letters, 2000 For an irreducible Coxeter system \((W,S)\), with the group \(W\) finite, the authors construct an explicit free resolution \((C_*,\delta_*)\) of the trivial \(\mathbb{Z}[W]\)-module \(\mathbb{Z}\). In dimension \(k\), \(C_k\) is the free \(\mathbb{Z}[W]\)-module on the flags of subsets of \(S\) of cardinality \(k\). If \(n\) is the rank of \(W\), then
DE CONCINI, Corrado, SALVETTI M.
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Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
HILBERT STRATIFOLDS AND A QUILLEN TYPE GEOMETRIC DESCRIPTION OF COHOMOLOGY FOR HILBERT MANIFOLDS
Forum of Mathematics, Sigma, 2018 In this paper we use tools from differential topology to give a geometric description of cohomology for Hilbert manifolds. Our model is Quillen’s geometric description of cobordism groups for finite-dimensional smooth manifolds [Quillen, ‘Elementary ...
MATTHIAS KRECK, HAGGAI TENE
doaj +1 more source
Graph potentials and topological quantum field theories
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
wiley +1 more source
Cohomology of uniformly powerful $p$-groups [PDF]
Transactions of the American Mathematical Society, 1999 Studies the cohomology of p-central, powerful, p-groups with a certain extension property. These groups are naturally associated to Lie algebras. The paper develops a machinery that calculates the first few terms of the Bockstein spectral sequence in terms of the associated Lie algebras. This is then used to obtain results on the integral cohomology of
Browder, William, Pakianathan, Jonathan
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
First and second cohomology group of a bu ndle
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 Let (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space.
Manea Adelina
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Essential cohomology of finite groups
Commentarii Mathematici Helvetici, 1997 An element of \(H^*(G,\mathbb{F}_p)\) is called essential if it restricts to zero on all proper subgroups \(H\) of \(G\), and \(\text{Ess}^*(G)\) denotes the ideal of \(H^*(G,\mathbb{F}_p)\) consisting of essential elements. It follows from this definition that the cohomology of a group \(G\) is detected by restricting to the subgroups \(H\) of \(G ...
Adem, Alejandro, Karagueuzian, Dikran
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Construction of Cohomology of Discrete Groups [PDF]
Transactions of the American Mathematical Society, 1988 A correspondence between Hermitian modular forms and vector valued harmonic forms in locally symmetric spaces associated to U ( p , q ) U(p,\,q) is constructed and also shown in general to be nonzero.
Tong, Y. L., Wang, S. P.
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