A Closed Structure Constant Formula for the Universal Enveloping Algebra of the Lie Algebra sl2

  • Samuel Herron Chamberlin Park University
  • Caleb Fernelius Park University
Keywords: Lie algebras; structure constants; universal enveloping algebras

Abstract

Gourley and Kennedy gave a recursive formula for the structure constants of the universal enveloping algebra of sl2. Using Kostant's formula we give a closed formula for these structure constants.

Published
2022-03-09
How to Cite
Chamberlin, S. H., & Fernelius, C. (2022). A Closed Structure Constant Formula for the Universal Enveloping Algebra of the Lie Algebra sl2. The PUMP Journal of Undergraduate Research, 5, 65-69. Retrieved from https://journals.calstate.edu/pump/article/view/2683