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G2 and the rolling ball
Huerta, John (2017-05-09)Understanding the exceptional Lie groups as the symmetry groups of simpler objects is a long-standing program in mathematics. Here, we explore one famous realization of the smallest exceptional Lie group, G2: Its Lie ... -
L-InfinityAlgebras, Cohomology and M-Theory
Huerta, John (2017-05-12)In this introduction for topologists, we explain the role that extensions of L-infinity algebras by taking homotopy fibers plays in physics. This first appeared with the work of physicists D'Auria and Fre in 1982, ...