منابع مشابه
Invariant Actions for Noncommutative Gravity
Two main problems face the construction of noncommutative actions for gravity with star products: the complex metric and finding an invariant measure. The only gauge groups that could be used with star products are the unitary groups. I propose an invariant gravitational action in D = 2n dimensions based on the constrained gauge group U(2) broken down to U(2) for n > 2. When n = 2 the gauge gro...
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The Palais-Smale Condition C holds for the Yang-Mills functional on principal bundles over compact manifolds of dimension ≤ 3. This was established by S. Sedlacek [17] and C. Taubes [18] Proposition 4.5 using the compactness theorem of K. Uhlenbeck [20]; see also [23]. It is well known that Condition C fails for Yang-Mills over compact manifolds of dimension ≥ 4. The example of SO(3)-invariant ...
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Abstract: One may consider three types of statistical inference: Bayesian, frequentist, and group invariance-based. The focus here is on the last method. We consider the Poisson and binomial distributions in detail to illustrate a group invariance method for constructing inferred distributions on parameter spaces given observed results. These inferred distributions are obtained without using Ba...
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We construct an invariant of boundary links which is at least as strong as the Kontsevich integral, determines the S-equivalence class of a boundary link and which takes values in a space of trivalent graphs whose edges are decorated by rational functions in noncommuting variables. Our invariant is axiomatically characterized by a universal property closely related to the Homology Surgery view ...
متن کاملSymmetry Classification Using Noncommutative Invariant Differential Operators
Given a class F of differential equations, the symmetry classification problem is to determine for each member f ∈ F the structure of its Lie symmetry group G f , or equivalently of its Lie symmetry algebra. The components of the symmetry vector fields of the Lie algebra are solutions of an associated over-determined ‘defining system’ of differential equations. The usual computer classification...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2005
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2131206