Lie groups simply isomorphic with no linear group

LIE GROUPS SIMPLY ISOMORPHIC WITH NO LINEAR GROUPf BY GARRETT BIRKHOFF

Lie Groups Locally Isomorphic to Generalized Heisenberg Groups

We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group N , there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to N and a union of certain quotients of noncompact Riemannian symmetric spaces.

geometrical categories of generalized lie groups and lie group-groupoids

in this paper we construct the category of coverings of fundamental generalized lie group-groupoid associatedwith a connected generalized lie group. we show that this category is equivalent to the category of coverings of aconnected generalized lie group. in addition, we prove the category of coverings of generalized lie groupgroupoidand the category of actions of this generalized lie group-gro...

Equivariant K-Theory of Simply Connected Lie Groups

We compute the equivariant K-theory K∗ G(G) for a simply connected Lie group G (acting on itself by conjugation). We prove that K∗ G(G) is isomorphic to the algebra of Grothendieck differentials on the representation ring. We also study a special example of a nonsimply connected Lie group G, namely PSU(3), and compute the corresponding equivariant K-theory.

Mean eigenvalues for simple, simply connected, compact Lie groups

We determine for each of the simple, simply connected, compact and complex Lie groups SU(n), Spin(4n+2) and E6 that particular region inside the unit disk in the complex plane which is filled by their mean eigenvalues. We give analytical parameterizations for the boundary curves of these so-called trace figures. The area enclosed by a trace figure turns out to be a rational multiple of π in eac...