Positive Level, Negative Level and Level Zero
This is a survey on the combinatorics and geometry of integrable representations of quantum affine algebras with a particular focus on level 0. Pictures and examples are included to illustrate the affine Weyl group orbits, crystal graphs and Macdonald pol
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Jianxun Hu Changzheng Li Leonardo C. Mihalcea Editors
Schubert Calculus and Its Applications in Combinatorics and Representation Theory Guangzhou, China, November 2017
Springer Proceedings in Mathematics & Statistics Volume 332
Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.
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Jianxun Hu Changzheng Li Leonardo C. Mihalcea •
•
Editors
Schubert Calculus and Its Applications in Combinatorics and Representation Theory Guangzhou, China, November 2017
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Editors Jianxun Hu School of Mathematics Sun Yat-sen University Guangzhou, Guangdong, China
Changzheng Li School of Mathematics Sun Yat-sen University Guangzhou, Guangdong, China
Leonardo C. Mihalcea Department of Mathematics Virginia Tech Blacksburg, VA, USA
ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-981-15-7450-4 ISBN 978-981-15-7451-1 (eBook) https://doi.org/10.1007/978-981-15-7451-1 Mathematics Subject Classification: 14N15, 14M15, 53D45, 17B45, 37K10 © Springer Nature Singapore Pte Ltd. 2020 This work is subject to copyright. All rights are reserved 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 marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registe
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