Basics on Finite Fields
This final set of lectures on finite fields is not aligned exactly with the character of the first four, but we are grateful that the editors have decided to include it here because it is an interesting manifestation of the spirit of exposition of the vol
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Adriano M. Garsia Ömer Eğecioğlu
Lectures in Algebraic Combinatorics Young’s Construction, Seminormal Representations, sl(2) Representations, Heaps, Basics on Finite Fields
Lecture Notes in Mathematics Volume 2277
Editors-in-Chief Jean-Michel Morel, CMLA, ENS, Cachan, France Bernard Teissier, IMJ-PRG, Paris, France Series Editors Karin Baur, University of Leeds, Leeds, UK Michel Brion, UGA, Grenoble, France Camillo De Lellis, IAS, Princeton, NJ, USA Alessio Figalli, ETH Zurich, Zurich, Switzerland Annette Huber, Albert Ludwig University, Freiburg, Germany Davar Khoshnevisan, The University of Utah, Salt Lake City, UT, USA Ioannis Kontoyiannis, University of Cambridge, Cambridge, UK Angela Kunoth, University of Cologne, Cologne, Germany Ariane Mézard, IMJ-PRG, Paris, France Mark Podolskij, University of Luxembourg, Esch-sur-Alzette, Luxembourg Sylvia Serfaty, NYU Courant, New York, NY, USA Gabriele Vezzosi, UniFI, Florence, Italy Anna Wienhard, Ruprecht Karl University, Heidelberg, Germany
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Adriano M. Garsia • Ömer E˘gecio˘glu
Lectures in Algebraic Combinatorics Young’s Construction, Seminormal Representations, sl(2) Representations, Heaps, Basics on Finite Fields
Adriano M. Garsia Department of Mathematics University of California, San Diego La Jolla, CA, USA
Ömer E˘gecio˘glu Department of Computer Science University of California Santa Barbara, CA, USA
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-030-58372-9 ISBN 978-3-030-58373-6 (eBook) https://doi.org/10.1007/978-3-030-58373-6 Mathematics Subject Classification: 05E10, 20C30, 05A99, 11T06, 11T22, 11T30 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service mar
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