From Current Algebra to Quantum Chromodynamics: A Case for Structural Realism.

Cao's book aims to provide a historical and conceptual account of a crucial period in this development, namely from the current algebra hypothesis suggested by the physicist Murray Gell-Mann in the early 60s to the formulation and first experimental successes of QCD in the early 70s.

After the Introduction, which contains important claims about Cao's constructive structural realism and the outline of the main structural steps in the development of QCD, Chapter 2 sets the experimental and theoretical context in which Gell-Mann (a central figure in the history of QCD, around which important parts of Cao's book revolve) proposed the current algebra framework for hadron physics, with the notion of (SU(3)) symmetry at its heart.

Following the quantum inverse scattering method developed in [9], it is useful to introduce the current algebra generated by

Due to (3) the current algebra L([lambda]) (4) admits the following local representation:

Current algebras on Riemann surfaces; new results and applications.

These proceedings of the July 2004 conference reflect the high regard in which contributors held Donin, and include a survey of his research along with such topics as bicrystals and crystal bases, the small quantum group and the Springer resolution, Fourier transforms for Hopf algebras, quantization, basic representations of quantum

current algebras in higher genus, Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form, the Drinfeld double for orbifolds, symmetrically factorizable groups and set-theoretical solutions for the pentagon equation, the dynamical reflection equation and Carter-Rieger-Saito movies.