Straightening Identities in the Onsager Algebra

  • Samuel Herron Chamberlin Park University
  • Azadeh Rafizadeh William Jewell College
  • Matthew Samsel William Jewell College
  • Denver Strong William Jewell College
DOI: https://doi.org/10.46787/pump.v2i0.2232
Keywords: Lie algebras; Onsager algebra

Abstract

The purpose of this work is to formulate and prove some straightening identities in the Onsager algebra. Our identities allow one to rewrite specific products of basis elements as linear combinations of products which are in a different order. Such identities could be helpful in understanding the representation theory of the Onsager algebra.
Published
2019-09-07
How to Cite
Chamberlin, S. H., Rafizadeh, A., Samsel, M., & Strong, D. (2019). Straightening Identities in the Onsager Algebra. The PUMP Journal of Undergraduate Research, 2, 161-178. https://doi.org/10.46787/pump.v2i0.2232
Issue
Vol. 2 (2019): PUMP Journal of Undergraduate Research
Section
Articles

Copyright (c) 2019 Samuel Herron Chamberlin, Azadeh Rafizadeh, Matthew Samsel, Denver Strong

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