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Symmetry, Representations, and Invariants (Graduate Texts in Mathematics Book 255) by Roe Goodman, Nolan R. Wallach (auth.) is a nonfiction available to read on EtoBox.

What is Symmetry, Representations, and Invariants (Graduate Texts in Mathematics Book 255) about?

Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, __Symmetry, Representations, and Invariants__ is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of __Symmetry, Representations, and Invariants__: • Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus • Applications to geometry

Who reads Symmetry, Representations, and Invariants (Graduate Texts in Mathematics Book 255)?

Author

Roe Goodman, Nolan R. Wallach (auth.)

Publisher

Springer-Verlag New York

Published

2009

Language

EN

ISBN

9781441927293

Category

nonfiction

Subjects

Computer Science, Mathematics, Engineering