Group Gradings on Simple Lie Algebras of Type "A"

By Yuri A. Bahturin, Mikhail Kochetov, S. Montgomery. 2005

55 citations recorded by the source corpus.

In this paper we describe all group gradings by a finite abelian group G of any Lie algebra L of the type "A" over algebraically closed field F of characteristic zero.

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

View Paper: https://www.semanticscholar.org/paper/d6bd57f6cc0e99bc6562285a117fe2e82e9f5682

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. M. Kotchetov
2. Yuri A. Bahturin
3. Mikhail Kochetov
4. Alberto Elduque

In Geometry and Topology

1. M. Kotchetov
2. Yuri A. Bahturin
3. Mikhail Kochetov
4. Alberto Elduque

In Mathematical Physics

1. M. Kotchetov
2. Yuri A. Bahturin

Citations in the corpus

• Classification of group gradings on simple Lie algebras of types A, B, C and D☆ (2009, methodology): “Descriptions of such gradings were obtained in [4, 8, 5, 2, 1], but the question of distinguishing non-isomorphic gradings was not addressed in those papers.”