86 citations · 135 across the 14 of their papers we have counts for
16 papers
Unitary and Nonunitary Representations of the Heisenberg-Weyl Lie Algebra
Andrew Douglas, Hubert de Guise, Joe Repka
We examine unitary and nonunitary representations of the Heisenberg-Weyl Lie algebra , with particular emphasis on tensor products of unitary representations and o…
Cyclic wide subalgebras of semisimple Lie algebras
Andrew Douglas, Joe Repka
Let be a Levi decomposable Lie algebra, with Levi factor , and radical . A module of $\ltimes…
Narrow, wide, and -wide regular subalgebras of semisimple Lie algebras
Andrew Douglas, Joe Repka
A subalgebra of a semisimple Lie algebra is wide if every simple module of the semisimple Lie algebra remains indecomposable when restricted to the subalgebra. From a finer viewpoi…
Regular extreme semisimple Lie algebras
Andrew Douglas, Joe Repka
A subalgebra of a semisimple Lie algebra is wide if every simple module of the semisimple Lie algebra remains indecomposable when restricted to the subalgebra. A subalgebra is narr…
Subalgebras of the rank two semisimple Lie algebras
Andrew Douglas, Joe Repka
In this expository article, we describe the classification of the subalgebras of the rank 2 semisimple Lie algebras. Their semisimple subalgebras are well-known, and in a recent se…
The subalgebras of the rank two symplectic Lie algebra
Andrew Douglas, Joe Repka
The semisimple subalgebras of the rank symplectic Lie algebra are well-known, and we recently classified its Levi decomposable subalgebras. In thi…