Super Yangians and Quantum Loop Superalgebras

• Author / Creator

  Jankovic, Peggy M.

• The two families of quantum groups of Yangians and quantum loop algebras have a library of similar results on their structures and representation theories. Not until Gautam and Toledano-Laredo’s works in the past decade has there been an explanation for these correspondences. We present a selection of results on super Yangians and quantum loop superalgebras for the Lie superalgebras glM|N and qN. These suggest that a similar connection may exist in the superalgebra case.

• Subjects / Keywords

  • Super yangian
  • Quantum loop algebra
  • Yangians
  • Superalgebra
  • Verma module

• Graduation date

  Fall 2016

• Type of Item

  Thesis

• Degree

  Master of Science

• DOI

  https://doi.org/10.7939/R3V40K438

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.