In the second part, The er and the main supervisor will develop the ""string topology of finite groups of lie type"" they have recently discovered connecting the cohomology of the free loop space of the classifying space of a compact connected

lie group g and the cohomology of the finite groups of lie type associated with g with the aim of using it to shed light on the hitherto mysterious tezuka conjecture asserting that the two cohomologies frequently agree.

In the study of mod p cohomology of the classifying space of a simply-connected, simple, compact connected

Lie group G, Stiefel-Whitney classes and Chern classes play an important role.

Together they show how differential geometry is connected to other areas of mathematics such as topology and

Lie group theory.

Elementary

Lie Group Analysis and Ordinary Differential Equations, JohnWiley and Sons, (1999).

2n])[greater than or equal to]0] of the corresponding

Lie group acts on the electrical networks exactly as the above operations.

The first fundamental theorem of Lie estates the correspondence between a

Lie group and its infinitesimal representation also called Lie algebra or the symbol of the transformation.

8]

Lie group, long analyzed on paper but never before seen in a physical system.

In this paper we describe a method to derive a Weierstrass-type representation formula for simply connected immersed minimal surfaces in the 4-dimensional

Lie group [H.

In this paper, we will study the global error of

Lie group methods for solving linear ODEs of Lie type.

By using exponential map from Lie algebra to

Lie group, on g [member of] g(2) as in g = [[epsilon]v.

We shall consider symplecticmanifolds (M, [omega]) acted on by a connected

Lie group G of symplectomorphism.

Even the adversary know the differential equations and the boundary conditions, it is a very hard problem to obtain the

Lie group admitted by the problem.