4 papers
math.RT2026
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…
math.RA2024
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…
math.RA2024
The subalgebras of
Andrew Douglas, Joe Repka
A classification of the semisimple subalgebras of the Lie algebra of traceless matrices with complex entries, denoted , is well-known. We classify its nonsemisimpl…
math.RT2024
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…