27 citations · 55 across the 8 of their papers we have counts for
8 papers
A simple E8 construction
S. L. Cacciatori, F. Dalla Piazza, A. Scotti
In this short letter we conclude our program, started in [J. Math. Phys. 46 (2005) 083512], of building up explicit generalized Euler angle parameterizations for all exceptional co…
Compact Lie groups: Euler constructions and generalized Dyson conjecture
S. L. Cacciatori, F. Dalla Piazza, A. Scotti
A generalized Euler parameterization of a compact Lie group is a way for parameterizing the group starting from a maximal Lie subgroup, which allows a simple characterization of th…
E7 groups from octonionic magic square
Sergio L. Cacciatori, Francesco Dalla Piazza, Antonio Scotti
In this paper we continue our program, started in [2], of building up explicit generalized Euler angle parameterizations for all exceptional compact Lie groups. Here we solve the p…
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…
Euler angles for G2
Sergio L. Cacciatori, Bianca L. Cerchiai, Alberto Della Vedova +2
We provide a simple parametrization for the group G2, which is analogous to the Euler parametrization for SU(2). We show how to obtain the general element of the group in a form em…