Group theory Lecture

Posted by Maggie on June 7, 2024

Group theory lecture

Symmetry

  • Symmetry on physics
  • With Applications to Quantum Mechanics and Solid State Physics
  • Lecture Notes on Group Theory in Physics--Arovas
  • 分子对称性和群论基础

    • Lie group

  • $SO(N)$ spinor representation
  • $SU(2)$ to $SO(3)$ homomorphism
  • Final Exam(2019)
  • Group Theory Lecture Notes
  • Branching Rules of Classical Lie Groups in Two Ways
  • $SP(2,\mathbf{R})$ representation
  • Notes for Group Representations
  • An Elementary Approach to the Weight Multiplicities for $Sp(4)$
  • Fierz identity
  • Arovas lecture
  • Introduction to Group Theory--Stony Brook New York for Physicists
  • Group Representations in Physics---Stefan Keppeler
  • Some notes on group theory.--Eef van Beveren
  • Group theory--Jinquan Chen

    • Tensor representation

  • Tensor Product Decomposition
  • Tensor Product Decomposition

    • Cleasbach -Gordon coefficient

  • Irreducible Representations of the FiveDimensional Rotation Group. I
  • Irreducible Representations of the FiveDimensional Rotation Group. II
  • Coupling coefficients of $SO(n)$ and integrals involving Jacobi and Gegenbauer polynomials--Sigitas Ališauskas
  • Review of $SO(5)$ group theory-Hu
  • Review of $SO(5)$ group theory-Hu
  • Graphical Tensor Product Reduction Scheme for the Lie Algebra $so(5)$
  • Modern mathematical phsyics: Group represemntation theory
  • Serge Richard
  • $SU(2)$ and $SO(3)$
  • Lie group notes
  • $sp(2N)$ group
  • Sympletic reduction
  • Particle physic-Wallon
  • Projective representation
  • Projective phases
  • Group theory and Machine learing
  • Lie algebra and classical differential geometry
  • Advance quantum mechanics-Santa Babara
  • Arovas
  • Lie group Lectures for physicists
  • Classical groups for physicists--Wybourne
  • Gernalized coherent states and their applications--Perelomov (1986)
  • Lie algebra and Lie group (BCH formula) --Gilmore(1974)

  • Symmetry, Representations, and Invariants , for mathematical techniques -- Goodman

  • The theory of group characters and matrix representations of groups --Littlewood
  • Analysis on Lie group
  • 3-D Spinors, Spin-Weighted Functions and their Applications
  • International Tables for Crystallography
  • Clliford algebra
  • Lie Groups and Lie Algebras: A Physicist's Perspective --Adam M. Bincer

    • $SO(5)$ Clesbach Gordon coefficients

  • Clliford algebra
  • Atomic,Molecular,and optic physics

    • $SO(8)$ triality

  • Octanion and triality--Pertti Lounesto
  • Spin(7)-subgroups of SO(8) and Spin(8)--V. S. Varadarajan
  • Lecture 23 - The Magic Square
  • Notes on Clifford algebra, spin group, triality.
  • Sphere transitive structures and the triality automorphisms
  • Triality and fixed points of Spin-bundles
  • Octonionic Cayley spinors and $E_6$
  • Notes on triality
  • Octonions, triality, the exceptional Lie algebraF4, and polar actions on the Cayley hyperbolic plane
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