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 ...

Nonrelativistic conformal symmetries play a pivotal role in modern mathematical physics, encapsulating the invariance properties of systems that do not adhere to relativistic constraints. At their ...

Let V be a finite-dimensional module for the finite-dimensional Lie algebra L over a field of characteristic zero. If $V^\lambda = \{v \in V|\quad\text{all}\quad x ...

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 ...