Levy Processes on Quantum Permutation Groups
| Affiliation auteurs | Affiliation ok |
| Titre | Levy Processes on Quantum Permutation Groups |
| Type de publication | Book Chapter |
| Year of Publication | 2016 |
| Auteurs | Franz U, Kula A, Skalski A |
| Editor | Alpay D, Cipriani F, Colombo F, Guido D, Sabadini I, Sauvageot JL |
| Book Title | NONCOMMUTATIVE ANALYSIS, OPERATOR THEORY AND APPLICATIONS |
| Series Title | Operator Theory Advances and Applications |
| Volume | 252 |
| Pagination | 193-259 |
| Publisher | SPRINGER INTERNATIONAL PUBLISHING AG |
| City | GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND |
| ISBN Number | 978-3-319-29116-1; 978-3-319-29114-7 |
| ISBN | 0255-0156 |
| Mots-clés | (quantum) Levy process, Compact quantum group, free permutation group |
| Résumé | We describe basic motivations behind quantum or noncommutative probability, introduce quantum Levy processes on compact quantum groups, and discuss several aspects of the study of the latter in the example of quantum permutation groups. The first half of this paper is a survey on quantum probability, compact quantum groups, and Levy processes on compact quantum groups. In the second half the theory is applied to quantum permutations groups. Explicit examples are constructed and certain classes of such Levy processes are classified. |