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Lectures in Algebraic Combinatorics: Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields /
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Catalogue Information
Field name
Details
Dewey Class
512.3
Title
Lectures in Algebraic Combinatorics ([EBook]) : Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields / / by Adriano M. Garsia, Ömer Eğecioğlu.
Author
Garsia, Adriano M.
Added Personal Name
Eğecioğlu, Ömer
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2020.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details
XIV, 232 p. 36 illus. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 2277
ISBN
9783030583736
Summary Note
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.:
Mode of acces to digital resource
Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-58373-6
Links to Related Works
Subject References:
Algebra
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Commutative algebra
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Commutative rings
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Commutative Rings and Algebras
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Field Theory and Polynomials
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Field theory (Physics)
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Group theory
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Group Theory and Generalizations
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Authors:
author
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Eğecioğlu, Ömer
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Garsia, Adriano M.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
512.3
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