Lectures in algebraic combinatorics : Young's construction, seminormal representations, sl(2) representations, heaps, basics on finite fields / Adriano M. Garsia, Ömer Eğecioğlu.

By:

Garsia, Adriano M, 1928- [author.]

Contributor(s):

Eğecioğlu, Ömer Nuri, 1954- [author.]

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

3030583732
9783030583736

Subject(s): Additional physical formats: Print version:: No titleDDC classification:

511/.6 23
512.3

LOC classification:

QA164 .G37 2020eb

Online resources:

Click here to access online

Contents:

Lecture 1: Alfred Young's Construction of the Irreducible Representations of Sn -- Lecture 2: Young's Seminormal Representation, Murphy Elements, and Content Evaluations -- Lecture 3: On Finite Dimensional sl(2) Representations and an Application to Algebraic Combinatorics -- Lecture 4: Heaps, Continued Fractions, and Orthogonal Polynomials -- Lecture 5: Basics on Finite Fields.

Summary: 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.-- Provided by publisher.

Holdings ( 1 )
Title notes ( 4 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LN Mathematic		Available

Total holds: 0

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.-- Provided by publisher.

Includes bibliographical references.

Online resource; title from digital title page (viewed on December 23, 2020).