A historical review of the classifications of Lie algebras

Gromov introduced translation algebras (over the real or complex fields) in the early 1990’s as certain algebras of infinite matrices, whose entries are indexed by a given

While the preceding papers mostly considered abstract properties of algebras of quotients, our main objective is to compute Q m (L) for some Lie algebras L. Specifically, we

Our review covers: the Darboux-Lie theorem which gives the local structure of the foliation, and the affine structure of the leaves, Weinstein's theorem of tubular equivalence with

In this chapter we modify the reference measure m according to the isometric action of a compact Lie group, all while preserving the original curvature-dimension bound.. We further

Our main results are the following: (1) Overall, nearly 40 % of the subjects choose the strategy consistent with pure lie aversion; (2) we find no significant evidence

The main goal of this thesis is to study the moduli space M max (G) of polystable G-Higgs bundles with maximal value of this invariant, when G is a non-compact semisimple Lie group

This non- trivial response of the phase under gauge transformations causes a deformation of the corresponding Lie-algebra commutators and leads to the appearance of central

These algebras naturally appear as a residual gauge symmetry in the theory of relativistic membranes [3], which exhibits an intriguing connection with the quantum mechanics of