The classification of locally finite split simple Lie algebras

By Karl-Hermann Neeb, Nina Stumme. 2001

59 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/08c32f9561d285ac7c941961056f29f5f7454463

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. O. Loos
2. J. Wolf
3. Ivan Penkov
4. E. Neher

In Geometry and Topology

1. O. Loos
2. J. Wolf
3. Ivan Penkov
4. E. Neher
5. Yu. G. Nikonorov
6. Shaoqiang Deng

In Mathematical Physics

1. O. Loos
2. J. Wolf
3. Ivan Penkov
4. E. Neher

Citations in the corpus

• Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey (2008, unknown): “Equivalently, g is a locally flnite split simple Lie algebra, classifled in [ NS ] and [Stu], or g is the Tits-Kantor-Koecher algebra of a Jordan pair spanned by a connected grid, whose classiflcation is immediate from [Neh3].”
• A Bott-Borel-Weil theory for direct limits of algebraic groups (2002, background): “(A further interesting fact is that b(∞) and d(∞) are isomorphic as Lie algebras, see [3] and [22].”
• Tensor Representations of Classical Locally Finite Lie Algebras (2007, background): “It is known that over an algebraically closed eld any innite-dimension al simple locally nite Lie algebra which admits a root decomposition is classical, i.e. isomorphic to or so1, see [PS, NS ].”
• Locally finite root systems (2004, methodology): “In §8, we classify locally finite root systems, using simplifications of methods due to Kaplansky and Kibler [37, 38] and to Neeb and Stumme [54].”