J
John R. Faulkner
Researcher at University of Virginia
Publications - 42
Citations - 705
John R. Faulkner is an academic researcher from University of Virginia. The author has contributed to research in topics: Affine Lie algebra & Lie conformal algebra. The author has an hindex of 13, co-authored 42 publications receiving 669 citations.
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A construction of Lie algebras from a class of ternary algebras
TL;DR: The Tits-Koecher-Tits construction was extended in this article to a class of algebras with a ternary composition and alternating bilinear form satisfying certain axioms, and the construction of a Lie algebra from a member of this class is shown to be simple if the form is nondegenerate.
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Realization of graded-simple algebras as loop algebras
TL;DR: In this article, necessary and sufficient conditions for a Zn-graded algebra to be realized as a multiloop algebra based on a finite dimensional simple algebra over an algebraically closed field of characteristic 0.
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Nonassociative Coefficient Algebras for Steinberg Unitary Lie Algebras
B.N. Allison,John R. Faulkner +1 more
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On the geometry of inner ideals
TL;DR: In this paper, the notion of inner ideal was extended to an arbitrary finite dimensional module M for a finite dimensional Lie algebra with non-degenerate symmetric associative bilinear form.
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Multiloop realization of extended affine Lie algebras and Lie tori
TL;DR: In this paper, it was shown that all but one family of centreless Lie tori can be realized using multiloop algebras, and necessary and sufficient conditions for two centreless lie tori realized in this way to be isotopic.