Results 61 to 70 of about 85,344 (218)

On Poisson (2-3)-algebras which are finite-dimensional over the center

Researches in Mathematics
One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev, O.O. Pypka, I.V. Shyshenko   +2 more
doaj   +1 more source

Quantization of the Algebra of Chord Diagrams

, 1997
In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by links in the manifold $\Sigma \times [0,1]$ where $\Sigma $ is an oriented surface. This algebra has a filtration and the associated graded algebra $L_{Gr}(\Sigma)$
Andersen, Jørgen Ellegaard, Mattes, Josef, Reshetikhin, Nicolai   +2 more
core   +2 more sources

Quiver Poisson algebras

Journal of Algebra, 2007
This paper gives a construction of noncommutative Poisson algebras. Such algebras are widely used in noncommutative geometry and mathematical physics. The authors start with the classification of all the inner Poisson structures on a finite-dimensional path algebra \(kQ\) using the decomposition into decomposable Lie ideals of the standard Poisson ...
Yao, Yuan, Ye, Yu, Zhang, Pu
openaire   +1 more source

Asymptotic properties of cross‐classified sampling designs

Canadian Journal of Statistics, EarlyView.
Abstract We investigate the family of cross‐classified sampling designs across an arbitrary number of dimensions. We introduce a variance decomposition that enables the derivation of general asymptotic properties for these designs and the development of straightforward and asymptotically unbiased variance estimators.
Jean Rubin, Guillaume Chauvet
wiley   +1 more source

A goodness‐of‐fit test for regression models with discrete outcomes

Canadian Journal of Statistics, EarlyView.
Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang, Christian Genest, Johanna G. Nešlehová   +2 more
wiley   +1 more source

Quantum Riemannian geometry of phase space and nonassociativity

Demonstratio Mathematica, 2017
Noncommutative or ‘quantum’ differential geometry has emerged in recent years as a process for quantizing not only a classical space into a noncommutative algebra (as familiar in quantum mechanics) but also differential forms, bundles and Riemannian ...
Beggs Edwin J., Majid Shahn
doaj   +1 more source

Courant bracket as T-dual invariant extension of Lie bracket

Journal of High Energy Physics, 2021
We consider the symmetries of a closed bosonic string, starting with the general coordinate transformations. Their generator takes vector components ξ μ as its parameter and its Poisson bracket algebra gives rise to the Lie bracket of its parameters.
Lj. Davidović, I. Ivanišević, B. Sazdović   +2 more
doaj   +1 more source

Realizations of observables in Hamiltonian systems with first class constraints

, 2004
In a Hamiltonian system with first class constraints observables can be defined as elements of a quotient Poisson bracket algebra. In the gauge fixing method observables form a quotient Dirac bracket algebra.
A. V. BRATCHIKOV, Dirac P. A. M., Sniatycki I. J.   +2 more
core   +1 more source

Noncommutative Poisson vertex algebras and Courant–Dorfman algebras

Advances in Mathematics, 2023
We introduce the notion of double Courant-Dorfman algebra and prove that it satisfies the so-called Kontsevich-Rosenberg principle, that is, a double Courant-Dorfman algebra induces Roytenberg's Courant-Dorfman algebras on the affine schemes parametrizing finite-dimensional representations of a noncommutative algebra.
Álvarez-Cónsul, L., Moret-Fernández, David, Heluani, R.   +2 more
openaire   +4 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source