The book places the subject matter in its historical context with
discussions of Galois groups, algebraic invariants, Lie groups and
differential equations, presented at a level that is not the
standard fare for students majoring in the Physical Sciences. A
sound mathematical basis is thereby provided for the study of
special unitary groups and their applications to Particle
Physics.
Contens:
Introduction.
Galois groups.
Some algebraic invariants.
Some invariants in physics.
Group -- concrete and abstract.
Lie's didfferential equation.
Lie's continuous transformation group.
Properties of n-variable r-parameter Lie groups.
Matrix representation of groups.
Some Lie groups of transformations.
The group structure of Lorentz transformations.
Isospin.
Lie groups and structure of matter.
Lie groups and the conservation laws of physical Universe.
Bibliography.
164 p.
Contens:
Introduction.
Galois groups.
Some algebraic invariants.
Some invariants in physics.
Group -- concrete and abstract.
Lie's didfferential equation.
Lie's continuous transformation group.
Properties of n-variable r-parameter Lie groups.
Matrix representation of groups.
Some Lie groups of transformations.
The group structure of Lorentz transformations.
Isospin.
Lie groups and structure of matter.
Lie groups and the conservation laws of physical Universe.
Bibliography.
164 p.