Science/Engineering Representation Theory of Finite Groups: Algebra and Arithmetic (Graduate Studies in Mathematics, V. 59) (0821832220)

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Representation Theory of Finite Groups: Algebra and Arithmetic (Graduate Studies in Mathematics, V. 59)

Representation theory plays important roles in geometry, algebra, analysis, and mathematical physics. In particular, it has been one of the great tools in the study and classification of finite groups. The theory contains some particularly beautiful results: Frobenius's theorem, Burnside's theorem, Artin's theorem, Brauer's theorem--all of which are covered in this textbook. Some seem uninspiring at first but prove to be quite useful. Others are clearly deep from the outset. And when a group (finite or otherwise) acts on something else (as a set of symmetries, for example), one ends up with a natural representation of the group.

This book is an introduction to the representation theory of finite groups from an algebraic point of view, regarding representations as modules over the group algebra. The approach is to develop the requisite algebra in reasonable generality and then to specialize it to the case of group representations. Methods and results particular to group representations, such as characters and induced representations, are developed in depth. Arithmetic comes into play when considering the field of definition of a representation, especially for subfields of the complex numbers. The book has an extensive development of the semisimple case, where the characteristic of the field is zero or is prime to the order of the group, and builds the foundations of the modular case, where the characteristic of the field divides the order of the group.

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	Study Representations of Finite and Compact Groups (Graduate Studies in Mathematics ; V. 10) Representations of Finite and Compact Groups (Graduate Studies in Mathematics ; V. 10)Publisher:American Mathematical Society 2005-12-20) \| ISBN-10: 0821804537 \| PDF \| 5.3 Mb \| 266 pageBarry Simon, I.B.M. Professor of Mathematics and Theore ...
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	Science/Engineering Representation Theory of Finite Reductive Groups Marc Cabanes, Michel Enguehard, "Representation Theory of Finite Reductive Groups" Cambridge University Press \| 2004 \| ISBN: 0521825172 \| 454 pages \| PDF \| 2,3 MB At the crossroads of representation theory, algebraic geometry and finit ...
	Study Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups J. L. Alperin "Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Cambridge Studies in Advanced Mathematics)"Cambridge University Press \| English \| 1993-09-24 \| ISBN: ...
	Representations of Finite and Compact Groups (Graduate Studies in Mathematics ; V. 10) (Graduate Studies in Mathematics ; V. 10) Author: Barry SimonPublisher: American Mathematical Society (1995)Binding: Hardcover, 266 pagespricer: $38.00ISBN-10: 0821804537editorialreviewsBarry Simon, I.B.M. Professor of Mathematics and Theoretical Physics at the California Institute ...

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	Study Representations of Finite and Compact Groups (Graduate Studies in Mathematics ; V. 10) Representations of Finite and Compact Groups (Graduate Studies in Mathematics ; V. 10)Publisher:American Mathematical Society 2005-12-20) \| ISBN-10: 0821804537 \| PDF \| 5.3 Mb \| 266 pageBarry Simon, I.B.M. Professor of Mathematics and Theore ...
	Science/Engineering Classical Groups and Geometric Algebra (Graduate Studies in Mathematics, V. 39) Classical Groups and Geometric Algebra (Graduate Studies in Mathematics, V. 39)American Mathematical Society \| 2001 \| ISBN: 0821820192 \| Pages: 169 \| DJVU \| 2.21 MB"Classical groups", named so by Hermann Weyl, are groups of matrices or quot ...
	Science/Engineering Representations of Finite and Compact Groups (Graduate Studies in Mathematics, V. 10) (Repost) Representations of Finite and Compact Groups (Graduate Studies in Mathematics, V. 10)American Mathematical Society \| 2005 \| ISBN: 0821804537 \| Pages: 266 \| DJVU \| 3.04 MBBarry Simon, I.B.M. Professor of Mathematics and Theoretical Physics a ...
	Science/Engineering Representation Theory of Finite Reductive Groups Marc Cabanes, Michel Enguehard, "Representation Theory of Finite Reductive Groups" Cambridge University Press \| 2004 \| ISBN: 0521825172 \| 454 pages \| PDF \| 2,3 MB At the crossroads of representation theory, algebraic geometry and finit ...
	Study Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups J. L. Alperin "Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Cambridge Studies in Advanced Mathematics)"Cambridge University Press \| English \| 1993-09-24 \| ISBN: ...
	Representations of Finite and Compact Groups (Graduate Studies in Mathematics ; V. 10) (Graduate Studies in Mathematics ; V. 10) Author: Barry SimonPublisher: American Mathematical Society (1995)Binding: Hardcover, 266 pagespricer: $38.00ISBN-10: 0821804537editorialreviewsBarry Simon, I.B.M. Professor of Mathematics and Theoretical Physics at the California Institute ...

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