Lecture Notes in Mathematics

Lectures in Algebraic Combinatorics

Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields

Authors: Garsia, Adriano, Egecioglu, Omer

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  • Offers an ideal supplement to a graduate level course on algebraic combinatorics
  • Gives a unique take on a number of combinatorial constructs that are quite timeless
  • Provides expositions which are detailed, but at the same time easily accessible, very readable, and seemingly effortless
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  • ISBN 978-3-030-58373-6
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Softcover $59.99
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About this book

Capturing Adriano Garsia's unique perspective on essential topics in algebraic combinatorics, this book consists of selected, classic notes on a number of topics based on lectures held at the University of California, San Diego over the past few decades.

The topics presented share a common theme of describing interesting interplays between algebraic topics such as representation theory and elegant structures which are sometimes thought of as being outside the purview of classical combinatorics. The lectures reflect Garsia’s inimitable narrative style and his exceptional expository ability.

The preface presents the historical viewpoint as well as Garsia's personal insights into the subject matter. The lectures then start with a clear treatment of Alfred Young's construction of the irreducible representations of the symmetric group, seminormal representations and Morphy elements. This is followed by an elegant application of SL(2) representations to algebraic combinatorics. The last two lectures are on heaps, continued fractions and orthogonal polynomials with applications, and finally there is an exposition on the theory of finite fields.

The book is aimed at graduate students and researchers in the field.


Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-030-58373-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-030-58372-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Lectures in Algebraic Combinatorics
Book Subtitle
Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2277
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-58373-6
DOI
10.1007/978-3-030-58373-6
Softcover ISBN
978-3-030-58372-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIV, 232
Number of Illustrations
36 b/w illustrations
Topics