Results 21 to 30 of about 1,694 (268)
Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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Indian Journal of Pure and Applied Mathematics, 2012 Let \(KG\) be the group ring of a group \(G\) over a ring \(K\). An element \(\alpha\in KG\) is said to be algebraic over \(K\) if there exists a non-constant polynomial \(f(x)\in K[x]\) such that \(f(\alpha)=0\). In this paper the author makes a survey of the main results in the theory of group rings for algebraic elements which are obtained in recent
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Sequential Quantum Measurements and the Instrumental Group Algebra
Quantum ReportsMany of the most fundamental observables—position, momentum, phase point, and spin direction—cannot be measured by an instrument that obeys the orthogonal projection postulate.
Christopher S. Jackson
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International Journal of Mathematics and Mathematical Sciences, 2003 A correspondence between quartic étale algebras over a field and quadratic étale extensions of cubic étale algebras is set up and investigated. The basic constructions are laid out in general for sets with a profinite group action and for torsors, and ...
Max-Albert Knus, Jean-Pierre Tignol
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Eight-dimensional real absolute-valued algebras with left unit whose automorphism group is trivial
International Journal of Mathematics and Mathematical Sciences, 2003 We classify, by means of the orthogonal group 𝒪7(ℝ), all eight-dimensional real absolute-valued algebras with left unit, and we solve the isomorphism problem.
A. Rochdi
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On Algebraic Groups and Discontinuous Groups [PDF]
Nagoya Mathematical Journal, 1966 Let G be a connected semi-simple algebraic group defined over Q and let Γ be a discrete subgroup of GR (the subgroup of G consisting of points rational over R) such that Γ\GR is compact. The main purpose of the present paper is to prove that for a certain type of group G there exists an invariant algebraic differential from ω on G of highest degree ...
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Advanced Functional Materials, EarlyView.An organic neuromorphic architecture for the classification of human motor behavior is presented and validated. It performs somatic integration by linearly combining the activity from three muscles. An investigation of synaptic weights is presented and discussed in relationship with the classification performance.
Ilenia Sergi +7 more
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Generalized group algebras and their bundles
International Journal of Mathematics and Mathematical Sciences, 1982 Our primary objective here is to extend the concept of Banach ∗-algebraic bundle to the setting where the bundle product and involution are just measurable, i.e. not necessarily continuous. Our secondary objective is to introduce the ∗-algebra operations
I. E. Schochetman
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Organic Materials of Tomorrow: Horizons of Artificial Intelligence
Advanced Materials, EarlyView.This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena +3 more
wiley +1 more source