Combinatorics of canonical bases revisited
- We give a formula for the crystal structure on the integer points of the string polytopes and the *-crystal structure on the integer points of the string cones of type A for arbitrary reduced words. As a byproduct, we obtain defining inequalities for Nakashima–Zelevinsky string polytopes. Furthermore, we give an explicit description of the Kashiwara *-involution on string data for a special choice of reduced word.
| Author: | Volker GenzGND, Gleb A. KoševoGND, Beatrix SchumannGND |
|---|---|
| URN: | urn:nbn:de:hbz:294-100650 |
| DOI: | https://doi.org/10.1007/s00031-021-09668-7 |
| Parent Title (English): | Transformation groups |
| Subtitle (English): | string data in type a |
| Publisher: | Birkhäuser |
| Place of publication: | Boston |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2023/08/28 |
| Date of first Publication: | 2021/09/07 |
| Publishing Institution: | Ruhr-Universität Bochum, Universitätsbibliothek |
| Volume: | 27 |
| First Page: | 867 |
| Last Page: | 895 |
| Note: | Dieser Beitrag ist auf Grund des DEAL-Springer-Vertrages frei zugänglich. |
| Dewey Decimal Classification: | Naturwissenschaften und Mathematik / Mathematik |
| open_access (DINI-Set): | open_access |
| faculties: | Fakultät für Mathematik |
| Licence (English): |  Creative Commons - CC BY 4.0 - Attribution 4.0 International |
