An algebraic proof of the PRV conjecture for very regular weights.
An algorithm that carries a square matrix into its transpose by an involutory congruence transformation.
An elementary approach to the hypergeometric shift operators of Opdam.
An extension of Rais' theorem and seaweed subalgebras of simple Lie algebras
We prove an extension of Rais' theorem on the coadjoint representation of certain graded Lie algebras. As an application, we prove that, for the coadjoint representation of any seaweed subalgebra in a general linear or symplectic Lie algebra, there is a generic stabiliser and the field of invariants is rational. It is also shown that if the highest root of a simple Lie algerba is not fundamental, then there is a parabolic subalgebra whose coadjoint representation do not...
An introduction to some novel applications of Lie algebra cohomology in mathematics and physics.
En esta nota se presenta en primer lugar una introducción autocontenida a la cohomología de álgebras de Lie, y en segundo lugar algunas de sus aplicaciones recientes en matemáticas y física.
Analogues of Kostant's ...-cohomology formulas for unitary highest weight modules.