Results 21 to 30 of about 12,740,858 (240)
On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications
Mathematics, 2022 In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections between ...
Sherali S. Ibraev +2 more
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Exactly solvable lattice Hamiltonians and gravitational anomalies
SciPost Physics, 2023 We construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of order two and four in any spacetime dimensions, whose boundaries are ...
Yu-An Chen, Po-Shen Hsin
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A tight colored Tverberg theorem for maps to manifolds (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Any continuous map of an $N$-dimensional simplex $Δ _N$ with colored vertices to a $d$-dimensional manifold $M$ must map $r$ points from disjoint rainbow faces of $Δ _N$ to the same point in $M$, assuming that $N≥(r-1)(d+1)$, no $r$ vertices of $Δ _N ...
Pavle V. M. Blagojević +2 more
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Polynomial Cohomology and Polynomial Maps on Nilpotent Groups [PDF]
, 2019 We introduce a refined version of group cohomology and relate it to the space of polynomials on the group in question. We show that the polynomial cohomology with trivial coefficients admits a description in terms of ordinary cohomology with polynomial ...
Kyed, David, Petersen, Henrik Densing
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Relative Group Cohomology and The Orbit Category [PDF]
, 2012 Let G be a finite group and ℱ be a family of subgroups of G closed under conjugation and taking subgroups. We consider the question whether there exists a periodic relative ℱ-projective resolution for ℤ when ℱ is the family of all subgroups H ≤ G with rk
Semra Pamuk, Ergün Yalçın
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Automorphisms of corona algebras, and group cohomology [PDF]
, 2012 In 2007 Phillips and Weaver showed that, assuming the Continuum Hypothesis, there exists an outer automorphism of the Calkin algebra. (The Calkin algebra is the algebra of bounded operators on a separable complex Hilbert space, modulo the compact ...
Samuel Coskey, I. Farah
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Group cohomology with coefficients in a crossed module [PDF]
Journal of the Institute of Mathematics of Jussieu, 2009 We compare three different ways of defining group cohomology with coefficients in a crossed module: (1) explicit approach via cocycles; (2) geometric approach via gerbes; (3) group theoretic approach via butterflies. We discuss the case where the crossed
B. Noohi
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On the Cohomology of Topological Semigroups
Communications in Advanced Mathematical Sciences, 2019 In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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Group cohomology and control of p-fusion [PDF]
, 2012 We show that if an inclusion of finite groups H≤G of index prime to p induces a homeomorphism of mod p cohomology varieties, or equivalently an F-isomorphism in mod p cohomology, then H controls p-fusion in G, if p is odd.
D. Benson, Jesper Grodal, Ellen Henke
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Forum of Mathematics, Sigma, 2021 We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
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