J.F. Cornwell is a professor of theoretical physics at the University of Saint Andrews. He is a Fellow of the Royal Society of Edinburgh. Cornwell's research interestsin mathematical physics have extended from solid-state theory to fundamental particle physics, with group theory and its related mathematical developments providing a unifying theme.

• The Basic Framework. The Structure of Groups. Lie Groups. Representation of Groups--Principal Ideas. Representation of Groups--Developments. Group Theory in Quantum Mechanical Calculations. Crystallographic Space Groups. The Role of Lie Algebras. The Relationships Between Lie Groups and Lie Algebras Explored. The Three-Dimensional Rotation Groups. The Structure of Semi-Simple Lie Algebras. Representations of Semi-Simple Lie Algebras. Symmetry Schemes for the Elementary Particles. Appendices. References. Subject Index.

"....Very clearly written for theoretical physicists and, overall, very precise from the mathematical point of view, such a book is suitable for advanced undergraduate and postgraduate students, in particular. If you read the preface, you also immediately understand that the author has the solicitude "to try to overcome the communication barrier" between physicists and pure mathematicians. I strongly recommend the bijective character of such an application between the two communities: I expect that this will suggest more and more constructive interactions. This is definitely a very good approach to group theory in physics." --MATHEMATICAL REVIEWS, November 1998

J.F. Cornwell is a professor of theoretical physics at the University of Saint Andrews. He is a Fellow of the Royal Society of Edinburgh. Cornwell's research interestsin mathematical physics have extended from solid-state theory to fundamental particle physics, with group theory and its related mathematical developments providing a unifying theme.

• The Basic Framework. The Structure of Groups. Lie Groups. Representation of Groups--Principal Ideas. Representation of Groups--Developments. Group Theory in Quantum Mechanical Calculations. Crystallographic Space Groups. The Role of Lie Algebras. The Relationships Between Lie Groups and Lie Algebras Explored. The Three-Dimensional Rotation Groups. The Structure of Semi-Simple Lie Algebras. Representations of Semi-Simple Lie Algebras. Symmetry Schemes for the Elementary Particles. Appendices. References. Subject Index.

"....Very clearly written for theoretical physicists and, overall, very precise from the mathematical point of view, such a book is suitable for advanced undergraduate and postgraduate students, in particular. If you read the preface, you also immediately understand that the author has the solicitude "to try to overcome the communication barrier" between physicists and pure mathematicians. I strongly recommend the bijective character of such an application between the two communities: I expect that this will suggest more and more constructive interactions. This is definitely a very good approach to group theory in physics." --MATHEMATICAL REVIEWS, November 1998

J.F. Cornwell is a professor of theoretical physics at the University of Saint Andrews. He is a Fellow of the Royal Society of Edinburgh. Cornwell's research interestsin mathematical physics have extended from solid-state theory to fundamental particle physics, with group theory and its related mathematical developments providing a unifying theme.

• The Basic Framework. The Structure of Groups. Lie Groups. Representation of Groups--Principal Ideas. Representation of Groups--Developments. Group Theory in Quantum Mechanical Calculations. Crystallographic Space Groups. The Role of Lie Algebras. The Relationships Between Lie Groups and Lie Algebras Explored. The Three-Dimensional Rotation Groups. The Structure of Semi-Simple Lie Algebras. Representations of Semi-Simple Lie Algebras. Symmetry Schemes for the Elementary Particles. Appendices. References. Subject Index.

"....Very clearly written for theoretical physicists and, overall, very precise from the mathematical point of view, such a book is suitable for advanced undergraduate and postgraduate students, in particular. If you read the preface, you also immediately understand that the author has the solicitude "to try to overcome the communication barrier" between physicists and pure mathematicians. I strongly recommend the bijective character of such an application between the two communities: I expect that this will suggest more and more constructive interactions. This is definitely a very good approach to group theory in physics." --MATHEMATICAL REVIEWS, November 1998