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Lectures in Algebraic Combinatorics - Adriano M. Garsia, Ömer Eğecioğlu

Lectures in Algebraic Combinatorics

Young's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields
Buch | Softcover
XIV, 232 Seiten
2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-58372-9 (ISBN)
CHF 89,85 inkl. MwSt

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.


- 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.

Erscheinungsdatum
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo XIV, 232 p. 36 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 385 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte Alfred Young • Algebraic combinatorics • Basics on Finite Fields • Continued fractions • heaps • orthogonal polynomials • Representation Theory • Seminormal Representation • Sperner property • Symmetric Groups • Young's Natural Representation
ISBN-10 3-030-58372-4 / 3030583724
ISBN-13 978-3-030-58372-9 / 9783030583729
Zustand Neuware
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