The Net Advance of Physics:
LIE ALGEBRAS AND GROUPS

LIE ALGEBRAS and LIE GROUPS:

• General: Dixon no date; Hall 2000/05; Semmes 2004/12;
  • Archive of This Week's Finds in Mathematical Physics, 1--50 by John C. Baez [1993-1995] 242 pp.
  • Elements of Group Theory (Section 2), by Francisco Yndurain [2007/10]
  • Lecture Notes in Lie Groups by Vladimir G. Ivancevic and Tijana T. Ivancevic [2011/04]
  • Symétrie en Physique: Algèbres de Lie, Théorie des groupes et Représentations by Adil Belhaj [2012/05]
  • Lie Transformation Groups -- An Introduction to Symmetry Group Analysis of Differential Equations by Michael Kunzinger [2015/06] 114 pp.
  • Lie groups and their applications to particle physics: A tutorial for undergraduate physics majors by JQ. Huang [2020/12]
  • Lie groups and Lie algebras by P. Etingof [2022/01] 252 pp. MIT lecture notes.

• Type: E₈:
  • E₈, the most exceptional group by Skip Garibaldi [2016/05]

• Type: ANTIALGEBRAS:
  • A short survey of Lie antialgebras by SéverineLeidwanger, andSophie Morier-Genoud [2012/10]

• Type: GROUPOIDS:
  • Lie groupoids by H. Bursztyn and M. del Hoyo [2023/09]

• Type: n-ARY:
  • n-ary algebras: a review with applications by Jose A. de Azcarraga and Jose M. Izquierdo [2010/05]

• Type: SEMISIMPLE: Witte 2001/06;
• Type: SH: Azcarraga et al. 98/03;
• Type: Simple: Azcarraga et al. 98/03;

• Type: VERTEX ALGEBRAS:
  • Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE by Victor Kac [2015/12]
• Types: q-DEFORMED; QUANTIZED;
• Aspects: COHOMOLOGIES: Azcarraga et al. 98/03;
• Aspects: DIAGRAMS: REPRESENTATIONS: Mihailovs 98/03;
• Re: BLACK HOLES: BHS: Fre' 98/02;

• Re: COMPACT MATRIX GROUPS:
  • Kac-Moody and Virasoro algebras by Antony Wassermann [2010/04] 80 pp

• Re: DIFFERENCE EQUATIONS: Levi and Winternitz 2005/02;
• Re: DUALITIES: Trigante (thesis) 98/01;
• Re: M THEORY: Fre' 98/02;
• Re: YANGIAN SYMMETRY: Bernard 92/11; Ge et al. 95/09;

THE NET ADVANCE OF PHYSICS