The Net Advance of Physics

The Net Advance of Physics:
GROUPS AND GROUP THEORY

General: Baez 92/08;
- Elements of Group Theory by Francisco Yndurain [2007/10]
- From Linear Algebra to Matrix Groups by Anupam Singh [2019/07] Problem set on matrix groups.
- Group theory in physics: An introduction with Mathematica by B. Ananthanarayan et al. [2024/08] 110 pp.
Type: COXETER; HEISENBERG; LIE; LITTLE; MONSTER; POINCARE; QUANTUM; RENORMALIZATION; SYMPLECTIC; UNITARY;
Type: ALGEBRAIC:
- Lectures on the geometry and modular representation theory of algebraic groups by J. Ciappara and G. Williamson [2019/08]
Type: APPROXIMATIVE:
- Raconte-moi ... les groupes approximatifs by Matthew Tointon [La Gazette des mathématiciens 160, 53 (2019)]
Type: ARITHMETIC:
- Arithmetic groups by V. Emery [2023/08]
Type: AUTOMORPHISM:,ul>
Finite Groups with Abelian Automorphism Groups: A Survey by Rahul Dattatraya Kitture and Manoj K. Yadav [2017/08]

Type: CRYSTALLOGRAPHIC: Nelson 2002;

Type: DISCRETE: NON-ABELIAN:

Type: FINITE: Serre 1979;

Type: GEOMETRIC:

Type: HAUSDORFF:

Type: HYPERBOLIC: Semmes 2002/12;

Type: LATTICES:

Type: LINEAR:

An Introduction to Schur Polynomials by Amritanshu Prasad [2018/02]
From Linear Algebra to Matrix Groups by Anupam Singh [2019/07] Problem set on matrix groups.

Type: MONSTER:

TASI Lectures on Moonshine by Vassilis Anagiannis and Miranda C. N. Cheng [2018/07]

Type: N-ARY:

Type: NON-ABELIAN: DISCRETE:

Type: ORTHOGONAL:

From Linear Algebra to Matrix Groups by Anupam Singh [2019/07] Problem set on matrix groups.

Type: PERMUTATION:

Type: SEMISIMPLE: Hall 2000/05;

Type: SPORADIC:

Type: SYMMETRIC:

Type: THIN:

GROUP THEORY:

Type: ANALYTIC:
- An invitation to analytic group theory by T. Cohen and T. Gelander [2024/02] 135 pp.
Aspects: CONFIGURATIONS:
- A survey of configurations by Akram Yousofzadeh [2016/12]
Aspects: EQUIVALENCE RELATIONS:
- A brief introduction to amenable equivalence relations by Justin Tatch Moore [2018/09]
Re: COMPLEXITY:
- Interactions of Computational Complexity Theory and Mathematics by Avi Wigderson [2017/10]
Re: CRYPTOGRAPHY:
- Problems in group theory motivated by cryptography by Vladimir Shpilrain [2018/02]
Re: DEFORMATION QUANTIZATION: Sternheimer 98/09;
Re: LOOP QUANTUM GRAVITY:
- A Primer of Group Theory for Loop Quantum Gravity and Spin-Foams by Pierre Martin-Dussaud [2019/02]
Re: MATERIALS SCIENCE:
- Computer Algebra and Material Design by Akihito Kikuchi [2016/12] 192 pp.
Re: MUSIC:
- Mathematics and group theory in music by Athanase Papadopoulos [2014/07]
Re: NUCLEAR PHYSICS:
- Symmetries in Nuclei by Pieter Van Isacker [2010/08]
Re: QUANTUM MECHANICS:
- Group Theory in Quantum Mechanics by Volker Heine [Oxford: Pergamon, 1960]
- Symmetries in Nuclei by Pieter Van Isacker [2010/08]
Re: SPECIAL FUNCTIONS:
- An Overview of the Relationship between Group Theory and Representation Theory to the Special Functions in Mathematical Physics by Ryan D. Wasson and Robert Gilmore [2013/09] For (advanced) undergraduates.
Re: UNIFIED THEORIES: Ananthanarayan 97/12;