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Mathematical tags of group theory
, 2020 I present a collection of mathematical results regarding group theory organized by tags.
Matheus Pereira Lobo
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Hexatonic systems and dual groups in mathematical music theory [PDF]
Involve, a Journal of Mathematics, 2018 Motivated by the music-theoretical work of Richard Cohn and David Clampitt on late-nineteenth century harmony, we mathematically prove that the PL-group of a hexatonic cycle is dual (in the sense of Lewin) to its T/I-stabilizer. Our point of departure is Cohn's notions of maximal smoothness and hexatonic cycle, and the symmetry group of the 12-gon; we ...
Berry, Cameron, Fiore, Thomas M.
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Group Theory: Mathematical Expression of Symmetry in Physics [PDF]
Symmetry, 2021 The present article reviews the multiple applications of group theory to the symmetry problems in physics. In classical physics, this concerns primarily relativity: Euclidean, Galilean, and Einsteinian (special). Going over to quantum mechanics, we first note that the basic principles imply that the state space of a quantum system has an intrinsic ...
Jean-Pierre Antoine
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Of McKay Correspondence, Non-linear Sigma-model and Conformal Field Theory [PDF]
, 1999 The ubiquitous ADE classification has induced many proposals of often mysterious correspondences both in mathematics and physics. The mathematics side includes quiver theory and the McKay Correspondence which relates finite group representation theory to
He, Yang-Hui, Song, Jun S.
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On the existence of block-transitive combinatorial designs [PDF]
, 2010 Block-transitive Steiner $t$-designs form a central part of the study of highly symmetric combinatorial configurations at the interface of several disciplines, including group theory, geometry, combinatorics, coding and information theory, and ...
Huber, Michael
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A closer look at semistability for singular principal bundles [PDF]
, 2004 We substantially refine the theory of singular principal bundles introduced in a former paper. In particular, we show that we need only honest singular principal bundles in our compactification.
Schmitt, Alexander H. W.
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The Largest Subsemilattices of the Endomorphism Monoid of an Independence Algebra [PDF]
, 2014 An algebra $\A$ is said to be an independence algebra if it is a matroid algebra and every map $\al:X\to A$, defined on a basis $X$ of $\A$, can be extended to an endomorphism of $\A$.
Araújo, João +2 more
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Signed group orthogonal designs and their applications
, 2015 Craigen introduced and studied {\it signed group Hadamard matrices} extensively in \cite{Craigenthesis, Craigen}. Livinskyi \cite{Ivan}, following Craigen's lead, studied and provided a better estimate for the asymptotic existence of signed group ...
Ghaderpour, Ebrahim
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, 2016 This is a survey article on the theory of fusion systems, a relatively new area of mathematics with connections to local finite group theory, algebraic topology, and modular representation theory.
Aschbacher, Michael, Oliver, Bob
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Anomaly constraints and string/F-theory geometry in 6D quantum gravity
, 2010 Quantum anomalies, determined by the Atiyah-Singer index theorem, place strong constraints on the space of quantum gravity theories in six dimensions with minimal supersymmetry.
Taylor, Washington
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