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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…
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…
The subalgebras of
Andrew Douglas, Joe Repka
We classify the solvable subalgebras, semisimple subalgebras, and Levi decomposable subalgebras of , up to inner automorphism. By Levi's Theorem, this…