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5 papers · 2 filters
Mapping the geometry of the E6 group
Fabio Bernardoni, Sergio L. Cacciatori, Bianca L. Cerchiai +1
In this paper we present a construction for the compact form of the exceptional Lie group E6 by exponentiating the corresponding Lie algebra e6, which we realize as the the sum of…
Noether theorem for mu-symmetries
G. Cicogna, G. Gaeta
We give a version of Noether theorem adapted to the framework of mu-symmetries; this extends to such case recent work by Muriel, Romero and Olver in the framework of lambda-symmetr…
Grassmann Integral Representation for Spanning Hyperforests
Sergio Caracciolo, Alan D. Sokal, Andrea Sportiello
Given a hypergraph G, we introduce a Grassmann algebra over the vertex set, and show that a class of Grassmann integrals permits an expansion in terms of spanning hyperforests. Spe…
Some results on the Zeeman topology
Giacomo Dossena
In a 1967 paper, Zeeman proposed a new topology for Minkowski spacetime, physically motivated but much more complicated than the standard one. Here a detailed study is given of som…
Nonlocal aspects of -symmetries and ODEs reduction
Diego Catalano Ferraioli
A reduction method of ODEs not possessing Lie point symmetries makes use of the so called -symmetries (C. Muriel and J. L. Romero, \emph{IMA J. Appl. Math.} \textbf{66}, 111-125…