Lie groups, Lie algebras, and their representations

TL;DR: In this article, the problem of determining the rotation from the stretch can be formulated through a system of partial differential equations in the group of rotations or in the space of skew-symmetric tensors.

TL;DR: In this article, the critical indexes for the Lp,q uniform boundedness of characters of a compact connected semisimple Lie group were determined. But they were not applied to the general theory of central functions on compact Lie groups.

TL;DR: In this article, the authors analyse the perturbative expansion of the knot invariants defined from the unitary representations of the Quantum Lorentz Group in two different ways, namely using the Kontsevich Integral and weight systems, and the $R$-matrix in the quantum numerics defined by Buffenoir and Roche.