Straightening Identities in the Onsager Algebra

Authors

  • 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.

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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

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The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.