Partition theory, a central branch of combinatorial number theory, concerns itself with the enumeration and properties of the ways in which integers may be decomposed into sums of positive integers ...

Group gradings provide a powerful framework for decomposing algebraic structures into subspaces that are systematically indexed by a group. In the context of Lie algebras, which play a central role in ...

This is a preview. Log in through your library . Abstract The fields of algebra and representation theory contain abundant examples of functors on categories of modules over a ring. These include of ...

Suppose a finite group acts on a scheme X and a finite-dimensional Lie algebra g. The corresponding equivariant map algebra is the Lie algebra M of equivariant regular maps from X to g. We classify ...