Representations of finite and compact groups
by Simon, Barry
fromGraduate studies in mathematics
"Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. They touch upon an enormous spectrum within the mathematical arena. This textbook brings them into the undergraduate curriculum. It is excellent for a one-semester course for studen…
Concrete and example-driven, with geometric motivation and rigorous proofs, this is suitable for a one-semester course for students familiar with linear and abstract algebra. The story begins and ends with the rotations of a globe. In between, the author combines rigor and intui…
"Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie group…
Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. They touch upon an enormous spectrum within the mathematical arena. This textbook brings them into the undergraduate curriculum. It is excellent for a one-semester course for student…
"Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie group…
Computational Invariant Theory
by Kemper, Gregor, Derksen, Harm
fromEncyclopaedia of mathematical sciences
This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. There are two introductory ch…
Computational Invariant Theory
by Kemper, Gregor, Derksen, Harm
fromEncyclopaedia of mathematical sciences
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.