Results 41 to 50 of about 336 (128)
Determinants as Combinatorial Summation Formulas over an Algebra with a Unique $n$-ary Operation
Известия Иркутского государственного университета: Серия "Математика", 2018 Since the late 1980s the author has published a number of results on matrix functions, which were obtained using the generating functions, mixed discriminants (mixed volumes in $\mathbb R^n$), and the well-known polarization theorem (the most general ...
G.P. Egorychev
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A commutative noncommutative fractal geometry
, 2011 In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
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Symmetric Functions, Noncommutative Symmetric Functions And Quasisymmetric Functions II
Acta Applicandae Mathematicae, 2003 This is part two of this survey; to appear in Acta. Appl. Math. The first part appeared in Acta Appl. Math 75 (2003), 55-93 and is also 'arXived'.
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Symmetric functions of two noncommuting variables [PDF]
Journal of Functional Analysis, 2014 We prove a noncommutative analogue of the fact that every symmetric analytic function of $(z,w)$ in the bidisc $\D^2$ can be expressed as an analytic function of the variables $z+w$ and $zw$. We construct an analytic nc-map $S$ from the biball to an infinite-dimensional nc-domain $Ω$ with the property that, for every bounded symmetric function $\ph$ of
Agler J, Young NJ
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Odd Jacobi Manifolds and Loday-Poisson Brackets
Journal of Mathematics, 2014 We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets.
Andrew James Bruce
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Smoothed one-core and core–multi-shell regular black holes
European Physical Journal C: Particles and Fields, 2018 We discuss the generic properties of a general, smoothly varying, spherically symmetric mass distribution $$\mathcal {D}(r,\theta )$$ D(r,θ) , with no cosmological term ($$\theta $$ θ is a length scale parameter).
Mustapha Azreg-Aïnou
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A Dialogue on Revolutions and Revolutionaries in Science: A Perspective From Quantum Mechanics
Natural Sciences, Volume 6, Issue 3, July 2026.ABSTRACT We discuss the notions of scientific revolutions and revolutionaries in the context of the Relativity Revolution and of the First, Second, and Third Quantum Revolutions. We conclude that at the core of the question of what qualifies as a revolution and revolutionary is an assessment of the gradients of knowledge accumulation over time, both at
Ron Folman, Bretislav Friedrich
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Physical constraints on quantum deformations of spacetime symmetries
Nuclear Physics B, 2018 In this work we study the deformations into Lie bialgebras of the three relativistic Lie algebras: de Sitter, Anti-de Sitter and Poincaré, which describe the symmetries of the three maximally symmetric spacetimes. These algebras represent the centerpiece
Flavio Mercati, Matteo Sergola
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On the Meaning of Localization in Non‐Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 6, June 2026.In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
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, 2022 35 pagesWe introduce a new pair of mutually dual bases of noncommutative symmetric functions and quasi-symmetric functions, and use it to derive generalizations of several results on the reduced incidence algebra of the lattice of noncrossing partitions.
Thibon, Jean-Yves +1 more
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