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Science/Engineering Symmetry, Representations, and Invariants

Posted on 2010-03-16

Name:	Science/Engineering Symmetry, Representations, and Invariants
ASIN/ISBN:	038779851X
Language:	English
File size:	5 Mb
Publish Date:	2009
ISBN:	038779851X
Pages:	716 pages
File Type:	PDF
File Size:	5 MB
Other Info:	Springer

Science/Engineering Symmetry, Representations, and Invariants

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Roe Goodman, Nolan R. Wallach, "Symmetry, Representations, and Invariants"

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 (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux)

• Self-contained chapters, appendices, comprehensive bibliography

• More than 350 exercises (most with detailed hints for solutions) further explore main concepts

• Serves as an excellent main text for a one-year course in Lie group theory

• Benefits physicists as well as mathematicians as a reference work

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	Study The Classical Groups: Their Invariants and Representations The Classical Groups: Their Invariants and RepresentationsPrinceton Univ Pr \| ISBN 0691079234 \| 1946-09 \| PDF \| 336 pages \| 8.61 MBIn this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic group ...
	Study Chronometric Invariants Chronometric InvariantsAmerican Research Press \| ISBN 1599730111 \| 2006-12-01 \| PDF \| 234 pages \| 2.73 MBThis book was written in 1944 by Abraham Zelmanov, a prominent scientist working in General relativity and cosmology. Herein he constr ...
	Science/Engineering Lie Groups: An Approach through Invariants and Representations Procesi C., "Lie Groups: An Approach through Invariants and Representations"Springer; 1 edition (October 12, 2006) \| ISBN-10: 0387260404 \| 608 pages \| PDF \| 25 MbLie groups has been an increasing area of focus and rich research since the m ...
	Science/Engineering Symmetry Rules: How Science and Nature Are Founded on Symmetry Joseph Rosen “Symmetry Rules: How Science and Nature Are Founded on Symmetry" Springer \| 2008-04-01 \| ISBN:3540759727 \| PDF \| 319 pages \| 2 Mb When we use science to describe and understand the world around us, we are in essence grasping ...
	Mathematics Lie Groups: An Approach through Invariants and Representations (Universitext) Author: Claudio ProcesiPublisher: Springer (2006)Binding: Paperback, 600 pagespricer: $59.95ISBN-10: 0387260404editorialreviewsLie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's ...
	Science/Engineering Equivalence, Invariants and Symmetry Peter J. Olver:

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