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Yvette Kosmann-Schwarzbach, "Groups and Symmetries: From Finite Groups to Lie Groups"

The theory of group representations is a fundamental subject at the intersection of algebra, geometry and analysis, with innumerable applications in other domains of pure mathematics and in the physical sciences: chemistry, molecular biology and physics, in particular crystallography, classical and quantum mechanics and quantum field theory.

Topics include:

- brisk review of the basic definitions and fundamental results of group theory, illustrated with examples;

- representation theory of finite groups (Schur’s Lemma and characters) and, using Haar measure, its generalization to compact groups;

- Lie algebras and linear Lie groups;

- detailed study of the group of rotations, the special unitary group in dimension 2 and their representations;

- spherical harmonics;

- representations of the special unitary group in dimension 3 (roots and weights) with quark theory as a consequence of the mathematical properties of the symmetry group.

This book is an introduction to both the theory of group representations and its applications in quantum mechanics. Unlike many other texts, it deals with finite groups, compact groups, linear Lie groups and their Lie algebras, concisely presented in one volume. With only linear algebra and calculus as prerequisites, it is accessible to advanced undergraduates in mathematics and physics, and will still be of interest to beginning graduate students. Exercises for each chapter and a collection of problems with complete solutions make this an ideal text for the classroom or for independent study.

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	Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups By John Horton Conway Publisher Oxford University Press, USA \| ISBN: 0198531990 \| edition 1986 \| PDF \| 250 pages \| 13 mb This atlas covers groups from the f ...
	Science/Engineering Seminar on Algebraic Groups and Related Finite Groups Armand Borel , R. W. Carter, Charles W. Curtis, Nagayoshi Iwahori, T. A. Springer, "Seminar on Algebraic Groups and Related Finite Groups: Held at the Institute for Advanced Study, Princeton/NJ, 1968/69" Springer \| 2009 \| ISBN: 354004920 ...
	Introduction to Complex Reflection Groups and Their Braid Groups (Lecture Notes in Mathematics) Michel Broué "Introduction to Complex Reflection Groups and Their Braid Groups (Lecture Notes in Mathematics)"Springer \| English \| 2010-03-01 \| ISBN: 3642111742 \| 132 pages \| PDF \| 1 MBWeyl groups are particular cases of complex reflectio ...
	Groups and Symmetries: From Finite Groups to Lie Groups (repost) Groups and Symmetries: From Finite Groups to Lie Groups Springer \| 2009 \| ISBN: 0387788654 \| 194 pages \| PDF \| 2,2 MB The theory of group representations is a fundamental subject at the intersection of algebra, geometry and analysis, with i ...
	Science/Engineering Seminar on Algebraic Groups and Related Finite Groups SpringerLanguage: EnglishISBN: 3540049207Paperback: 336 pagesData: Dec 1970
	Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups By Professor Robert T. CurtisPublisher: Cambridge University Press 2007 \| 332 Pages \| ISBN: 052185721X \| PDF \| 2 MBSome of the most beautif ...

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	Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups By John Horton Conway Publisher Oxford University Press, USA \| ISBN: 0198531990 \| edition 1986 \| PDF \| 250 pages \| 13 mb This atlas covers groups from the f ...
	Science/Engineering Seminar on Algebraic Groups and Related Finite Groups Armand Borel , R. W. Carter, Charles W. Curtis, Nagayoshi Iwahori, T. A. Springer, "Seminar on Algebraic Groups and Related Finite Groups: Held at the Institute for Advanced Study, Princeton/NJ, 1968/69" Springer \| 2009 \| ISBN: 354004920 ...
	Introduction to Complex Reflection Groups and Their Braid Groups (Lecture Notes in Mathematics) Michel Broué "Introduction to Complex Reflection Groups and Their Braid Groups (Lecture Notes in Mathematics)"Springer \| English \| 2010-03-01 \| ISBN: 3642111742 \| 132 pages \| PDF \| 1 MBWeyl groups are particular cases of complex reflectio ...
	Groups and Symmetries: From Finite Groups to Lie Groups (repost) Groups and Symmetries: From Finite Groups to Lie Groups Springer \| 2009 \| ISBN: 0387788654 \| 194 pages \| PDF \| 2,2 MB The theory of group representations is a fundamental subject at the intersection of algebra, geometry and analysis, with i ...
	Science/Engineering Seminar on Algebraic Groups and Related Finite Groups SpringerLanguage: EnglishISBN: 3540049207Paperback: 336 pagesData: Dec 1970
	Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups Symmetric Generation of Groups: With Applications to many of the Sporadic Finite Simple Groups By Professor Robert T. CurtisPublisher: Cambridge University Press 2007 \| 332 Pages \| ISBN: 052185721X \| PDF \| 2 MBSome of the most beautif ...

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