5 papers
Wide Regular Subalgebras of Symmetrizable Kac-Moody Algebras and an Extension of Schur's Lemma
Andrew Douglas, Abid Ali
The behavior of representations under restriction is a central theme in Lie theory. We study wide regular subalgebras of symmetrizable Kac-Moody algebras, extending work of Douglas…
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…
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
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…
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…