48 citations · 482 across the 38 of their papers we have counts for
5 papers · 1 filter
Squaring the Magic
Sergio L. Cacciatori, Bianca L. Cerchiai, Alessio Marrani
We construct and classify all possible Magic Squares (MS's) related to Euclidean or Lorentzian rank-3 simple Jordan algebras, both on normed division algebras and split composition…
Exceptional groups, symmetric spaces and applications
Sergio L. Cacciatori, Bianca L. Cerchiai
In this article we provide a detailed description of a technique to obtain a simple parametrization for different exceptional Lie groups, such as G2, F4 and E6, based on their fibr…
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…
Mapping the geometry of the F4 group
Fabio Bernardoni, Sergio L. Cacciatori, Bianca L. Cerchiai +1
In this paper we present a construction of the compact form of the exceptional Lie group F4 by exponentiating the corresponding Lie algebra f4. We realize F4 as the automorphisms g…
On the Euler angles for SU(N)
S. Bertini, S. L. Cacciatori, B. L. Cerchiai
In this paper we reconsider the problem of the Euler parametrization for the unitary groups. After constructing the generic group element in terms of generalized angles, we compute…