Lectures in algebraic combinatorics : Young's construction, seminormal representations, sl(2) representations, heaps, basics on finite fields
Author(s)
Bibliographic Information
Lectures in algebraic combinatorics : Young's construction, seminormal representations, sl(2) representations, heaps, basics on finite fields
(Lecture notes in mathematics, v. 2277)
Springer, c2020
Available at 36 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references (p. 229-230)
Description and Table of Contents
Description
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
- Alfred Young's Construction of the Irreducible Representations of Sn. - Young's Seminormal Representation, Murphy Elements, and Content Evaluations. - On Finite Dimensional sl(2) Representations and an Application to Algebraic Combinatorics. - Heaps, Continued Fractions, and Orthogonal Polynomials. - Finite Fields.
by "Nielsen BookData"