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 #  AuthorTitleAccn#YearItem Type Claims
1 Pavel Etingof Introduction to representation theory 024088 2011 Book  
2 William Fulton Representation theory: A first course 023053 2008 Book  
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TitleIntroduction to representation theory
Author(s)Pavel Etingof;Oleg Golberg;Sebastian Hensel;Tiankai Liu
PublicationRhode Island, American Mathematical Society, 2011.
Descriptionvii, 228p.
Series(Student Mathematical Library)
Abstract NoteVery roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a "holistic" introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra. Readership Undergraduate and graduate students interested in algebra and representation theory.
ISBN,Price9780821853511 : $ 42.00(PB)
Classification512.547
Keyword(s)REPRESENTATION THEORY
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
024088   512.547/ETI/024088  On Shelf    

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TitleRepresentation theory: A first course
Author(s)William Fulton;Joe Harris
PublicationNew York, Springer, 2008.
Descriptionxv, 551p.
Series(Graduate Text in Mathematics)
Abstract NoteThese lectures is to introduce the beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as a useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie Groups; in particular, the symmetric groups are treated in some detail. The focus then turns to Lie groups and Lie Algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups and exploring the related geometry. The goal of the last portion of the book is to make a bridge between the example-oriented approach of the earlier parts and the general theory.
ISBN,Price9780387974958 : EUR 39.95(PB)
Classification512.547
Keyword(s)1. LIE ALGEBRA 2. LIE GROUPS 3. REPRESENTATION OF GROUPS 4. REPRESENTATIONS OF ALGEBRAS
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
023053   512.547/FUL/023053  On Shelf    

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