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

Authors

  • Samuel Herron Chamberlin Park University
  • Caleb Fernelius Park University

DOI:

https://doi.org/10.46787/pump.v5i0.2683

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.

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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. https://doi.org/10.46787/pump.v5i0.2683