This book is addressed to graduate students and research workers in
theoretical physics who want a thorough introduction to group
theory and Hopf algebras. It is suitable for a one-semester course
in group theory or a two-semester course which also treats advanced
topics. Starting from basic definitions, it goes on to treat both
finite and Lie groups as well as Hopf algebras. Because of the
diversity in the choice of topics, which does not place undue
emphasis on finite or Lie groups, it should be useful to physicists
working in many branches. A unique aspect of the book is its
treatment of Hopf algebras in a form accessible to physicists. Hopf
algebras are generalizations of groups and their concepts are
acquiring importance in the treatment of conformal field theories,
noncommutative spacetimes, topological quantum computation and
other important domains of investigation. But there is a scarcity
of treatments of Hopf algebras at a level and in a manner that
physicists are comfortable with. This book addresses this need
superbly. There are illustrative examples from physics scattered
throughout the book and in its set of problems. It also has a good
bibliography. These features should enhance its value to readers.
The authors are senior physicists with considerable research and
teaching experience in diverse aspects of fundamental physics. The
book, being the outcome of their combined efforts, stands testament
to their knowledge and pedagogical skills.
General
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