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"Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, together w…
"Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, together w…
This monograph arose from lectures delivered by the authors at the Winter School "Operator Spaces, Noncommutative probability and Quantum Groups", December 1-12, 2014, held at the Azuréva Métabief in the Jura Mountains in France.
Various holonomy phenomena are shown to be instances of the reconstruction procedure for mechanical systems with symmetry. We systematically exploit this point of view for fixed systems and for slowly moving systems in adiabatic context. For the latter, we obtain the phases as t…
Symmetry in graphs
by Malnič, Aleksander, Dobson, Ted, Marušič, Dragan
fromCambridge studies in advanced mathematics
0
Type: Book
Introduction and constructions -- The petersen graph, blocks, and actions of A -- Some motivating problems -- Graphs with imprimitive automorphism group -- The end of the beginning -- Other classes of graphs -- The Cayley isomorphism problem -- Automorphism groups of vertex-tran…
