Results 1 to 10 of about 533 (145)
Non-Commutative Worlds and Classical Constraints [PDF]
Entropy, 2018 This paper reviews results about discrete physics and non-commutative worlds and explores further the structure and consequences of constraints linking classical calculus and discrete calculus formulated via commutators.
Louis H. Kauffman
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Supersymmetric minisuperspace models in self-dual loop quantum cosmology
Journal of High Energy Physics, 2021 In this paper, we study a class of symmetry reduced models of N $$ \mathcal{N} $$ = 1 super- gravity using self-dual variables. It is based on a particular Ansatz for the gravitino field as proposed by D’Eath et al. We show that the essential part of the
K. Eder, H. Sahlmann
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Gauge-Invariant Lagrangian Formulations for Mixed-Symmetry Higher-Spin Bosonic Fields in AdS Spaces
Universe, 2023 We deduce a non-linear commutator higher-spin (HS) symmetry algebra which encodes unitary irreducible representations of the AdS group—subject to a Young tableaux Y(s1,…,sk) with k≥2 rows—in a d-dimensional anti-de Sitter space. Auxiliary representations
Alexander Alexandrovich Reshetnyak +1 more
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Manifestly causal in-in perturbation theory about the interacting vacuum
Journal of High Energy Physics, 2021 In-In perturbation theory is a vital tool for cosmology and nonequilibrium physics. Here, we reconcile an apparent conflict between two of its important aspects with particular relevance to De Sitter/inflationary contexts: (i) the need to slightly deform
Matthew Baumgart, Raman Sundrum
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Turán and Ramsey problems for alternating multilinear maps
Discrete Analysis, 2023 Turán and Ramsey problems for alternating multilinear maps, Discrete Analysis 2023:12, 22 pp. Ramsey's theorem (in its finite version) states that for every positive integer $k$ there exists a positive integer $n$ such that every graph with $n$ vertices
Youming Qiao
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Commutativity theorems for rings and groups with constraints on commutators [PDF]
International Journal of Mathematics and Mathematical Sciences, 1984 Let n > 1, m, t, s be any positive integers, and let R be an associative ring with identity. Suppose xt[xn, y] = [x, ym]ys for all x, y in R. If, further, R is n‐torsion free, then R is commutativite. If n‐torsion freeness of R is replaced by “m, n are relatively prime,” then R is still commutative.
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COMMUTATIVITY THEOREMS FOR RINGS WITH CONSTRAINTS ON COMMUTATORS
Tamkang Journal of Mathematics, 1995 Let $R$ be a left (resp. right) $s$-unital ring and $m$ be a positive integer. Suppose that for each $y$ in $R$ there exist $J(t)$, $g(t)$, $h(t)$ in $Z[t]$ such that $x^m[x,y]= g(y)[x,y^2f(y)]h(y)$ (resp. $[x,y]x^m= g(y)[x,y^2f(y)]h(y))$ for all $x$ in $R$. Then $R$ is commutative (and conversely).
Abujabal, H. A. S., Ashraf, Mohd.
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Manifestly T-dual formulation of AdS space
Journal of High Energy Physics, 2017 We present a manifestly T-dual formulation of curved spaces such as an AdS space. For group manifolds related by the orthogonal vielbein fields the three form H = dB in the doubled space is universal at least locally. We construct an affine nondegenerate
Machiko Hatsuda +2 more
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A note on rings with certain variables identities
International Journal of Mathematics and Mathematical Sciences, 1989 It is proved that certain rings satisfying generalized-commutator constraints of the form [xm,yn,yn,...,yn]=0 with m and n depending on x and y, must have nil commutator ideal.
Hazar Abu-Khuzam
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On commutativity of rings with constraints on subsets [PDF]
Czechoslovak Mathematical Journal, 1993 Summary: Let \(R\) be a ring with center \(Z(R)\), and let \(A(R)\) be an appropriate subset of \(R\). In this paper, it is shown that \(R\) is commutative if and only if for every \(x,y\in R\), there exist integers \(k=k(x,y)\geq 1\), \(m=m(x,y)>1\), and \(n=n(x,y)\geq 1\) such that \([x,x^ny-y^mx^k]=0\) and for each \(x\in R\) either \(x\in Z(R ...
Abujabal, H. A. S. +3 more
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