Results 51 to 60 of about 40,354 (209)
Computations of Nambu-Poisson cohomologies
International Journal of Mathematics and Mathematical Sciences, 2001 We want to associate to an n-vector on a manifold of dimension n a cohomology which generalizes the Poisson cohomology of a 2-dimensional Poisson manifold. Two possibilities are given here.
Philippe Monnier
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The cohomological supercharge [PDF]
Journal of High Energy Physics, 2001 12 pages, latex, no figures.
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Cohomological Dimension and Schreier's Formula in Galois Cohomology [PDF]
Canadian Mathematical Bulletin, 2007 AbstractLet p be a prime and F a field containing a primitive p-th root of unity. Then for n ∈ N, the cohomological dimension of the maximal pro-p-quotient G of the absolute Galois group of F is at most n if and only if the corestriction maps are surjective for all open subgroups H of index p. Using this result, we generalize Schreier's formula for .
John G. Swallow +3 more
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Cohomology Theory of Nonassociative Algebras with Metagroup Relations
Axioms, 2019 Nonassociative algebras with metagroup relations and their modules are studied. Their cohomology theory is scrutinized. Extensions and cleftings of these algebras are studied. Broad families of such algebras and their acyclic complexes are described. For
Sergey V. Ludkowski
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Cohomologies of modified λ-differential Lie triple systems and applications
AIMS Mathematics, 2023 In this paper, we introduce the concept and representation of modified $ \lambda $-differential Lie triple systems. Next, we define the cohomology of modified $ \lambda $-differential Lie triple systems with coefficients in a suitable representation.
Wen Teng , Fengshan Long, Yu Zhang
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Axioms, 2023 It is shown that for any integers k≥2, q≥2k and N≥k+q+2, there exists a real solvable Lie algebra of the first rank with a maximal torus of derivations t possessing the eigenvalue spectrum spec(t)=1,2,⋯,k,q,q+1⋯,N, a nilradical of the nilpotence index N ...
Rutwig Campoamor-Stursberg +1 more
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Field-theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology, and beyond. [PDF]
Physical Review Letters, 2014 The challenge of identifying symmetry-protected topological states (SPTs) is due to their lack of symmetry-breaking order parameters and intrinsic topological orders.
Juven C. Wang, Z. Gu, X. Wen
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Nijenhuis Operators and Abelian Extensions of Hom-δ-Jordan Lie Supertriple Systems
Mathematics, 2023 Representations and cohomologies of Hom-δ-Jordan Lie supertriple systems are established. As an application, Nijenhuis operators and abelian extensions of Hom-δ-Jordan Lie supertriple systems are discussed.
Qiang Li, Lili Ma
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Quantum Groups and Quantum Cohomology [PDF]
, 2012 In this paper, we study the classical and quantum equivariant cohomology of Nakajima quiver varieties for a general quiver Q. Using a geometric R-matrix formalism, we construct a Hopf algebra Y_Q, the Yangian of Q, acting on the cohomology of these ...
D. Maulik, A. Okounkov
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Cohomology and Deformations of Relative Rota–Baxter Operators on Lie-Yamaguti Algebras
MathematicsIn this paper, we establish the cohomology of relative Rota–Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then, we use this type of cohomology to characterize deformations of relative Rota–Baxter operators on Lie-Yamaguti ...
Jia Zhao, Yu Qiao
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