Puskás, A. (2019) Crystal constructions in number theory. In: Barcelo, H., Karaali, G. and Orellana, R. (eds.) Recent Trends in Algebraic Combinatorics. Series: Association for women in mathematics series (vol.16). Springer: Cham, pp. 333-362. ISBN 9783030051419 (doi: 10.1007/978-3-030-05141-9_10)
Full text not currently available from Enlighten.
Abstract
Weyl group multiple Dirichlet series and metaplectic Whittaker functions can be described in terms of crystal graphs. We present crystals as parameterized by Littelmann patterns, and we give a survey of purely combinatorial constructions of prime power coefficients of Weyl group multiple Dirichlet series and metaplectic Whittaker functions using the language of crystal graphs. We explore how the branching structure of crystals manifests in these constructions, and how it allows access to some intricate objects in number theory and related open questions using tools of algebraic combinatorics.
| Item Type: | Book Sections |
|---|---|
| Status: | Published |
| Glasgow Author(s) Enlighten ID: | Puskas, Dr Anna |
| Authors: | Puskás, A. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Association for Women in Mathematics Series |
| Publisher: | Springer |
| ISSN: | 2364-5741 |
| ISBN: | 9783030051419 |
University Staff: Request a correction | Enlighten Editors: Update this record
Deposit and Record Details
Deposit and Record Details