Publications

  1. Mitchell Ryan (2026) "Refining the grading of irreducible Lie colour algebra representations." Journal of Pure and Applied Algebra, 108409. [DOI: 10.1016/j.jpaa.2026.108409] [arXiv: 2403.02855]
  2. Phillip S. Isaac and Mitchell Ryan (2025) "The Dirac oscillator, generalised parastatistics and colour Lie superalgebras." Nucl. Phys. B 1020, 117154. [DOI: 10.1016/j.nuclphysb.2025.117154] [arXiv: 2507.14780]
  3. Mitchell Ryan (2025) "Graded colour Lie superalgebras for solving Lévy-Leblond equations." J. Phys. A 58 (1), 015204. [DOI: 10.1088/1751-8121/ad978a] [arXiv: 2407.19723]
  4. Mitchell Ryan and Benjamin Solomon (2024) "Soliton Cellular Automata for the Affine General Linear Lie Superalgebra." Ann. Henri Poincaré 25 (3), 1811--1868. [DOI: 10.1007/s00023-023-01355-5] [arXiv: 2209.08781]
  5. Mitchell Ryan (2024) "Refining the grading of irreducible Lie colour algebra representations." [arXiv: 2403.02855]

My honours thesis (many of the results can be found in 2 and 4 above).