3 citations · 4 across the 10 of their papers we have counts for
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Closed subsets of root systems and regular subalgebras
Andrew Douglas, Willem A. de Graaf
We describe an algorithm for classifying the closed subsets of a root system, up to conjugation by the associated Weyl group. Such a classification of an irreducible root system is…
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…
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…
The simple non-Lie Malcev algebra as a Lie-Yamaguti algebra
Murray R. Bremner, Andrew Douglas
The simple 7-dimensional Malcev algebra is isomorphic to the irreducible -module V(6) with binary product defined by the $\…