Cyclic elements in semisimple Lie algebras
A. G. Elashvili, V. G. Kac, E. B. Vinberg
TL;DR
This paper develops a theory of cyclic elements in semisimple Lie algebras and applies it to explicitly construct regular elements in Weyl groups, advancing understanding of their algebraic structure.
Contribution
It introduces a new theory of cyclic elements in semisimple Lie algebras and uses it to explicitly construct regular elements in Weyl groups.
Findings
Established a theory of cyclic elements in semisimple Lie algebras
Constructed explicit regular elements in Weyl groups
Enhanced understanding of algebraic structures in Lie theory
Abstract
A theory of cyclic elements in semisimple Lie algebras is developed. It is applied to an explicit construction of regular elements in Weyl groups.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Nonlinear Waves and Solitons · Advanced Topics in Algebra