Infinite-dimensional Lie algebras in the spirit of infinite group theory

We first define, for a Coxeter graph, a vector space V with a symmetric bilinear form b...

Let us start with giving a few well-known facts about the inhomogeneous pseudo-unitary groups n2) is the real Lie group of those complex transformations of an

As mentioned in the Introduction, over a field of characteristic zero there is only one isomorphism class of algebras of type 1.. This algebra is metabelian,

We close this section by making some remarks on the relation between the cohomology of M.(n} and the cohomology of maximal nilpotent subalgebras of semisimple Lie algebras. Hence

In this paragraph we shall relate the local moduli of isolated hypersurface singularities to the local moduli of Lie algebras.. Consider an isolated

the description of indécomposable projective functors, we give a classification of irreducible Harish-Chandra modules of the group Gc (Theorem 5.6).. Note that the

analogous theorems for Lie algegras would say that the chain condi- tions on ideals of a Lie algebra are inherited by any ideal of finite co-dimension.. Similarly,

Next we will show that non-semisimple Lie algebras may have simple derivation algebras, as distinct from the finite- dimensional case, where only simple Lie algebras