Monopoles, Dipoles, and Harmonic Functions on Bratteli Diagrams
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-018-0189-7
Abstract: In our study of electrical networks we develop two themes: finding explicit formulas for special classes of functions defined on the vertices of a transient network, namely monopoles, dipoles, and harmonic functions. Secondly, our interest… read more here.
Keywords: functions bratteli; harmonic functions; dipoles harmonic; monopoles dipoles ... See more keywords
Bratteli Diagrams, Hopf-Galois Extensions and Calculi
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DOI: 10.3390/sym17020164
Abstract: Hopf–Galois extensions extend the idea of principal bundles to noncommutative geometry, using Hopf algebras as symmetries. We show that the matrix embeddings in Bratteli diagrams are iterated direct sums of Hopf–Galois extensions (quantum principal bundles)… read more here.
Keywords: extensions calculi; hopf galois; diagrams hopf; galois extensions ... See more keywords