Report
Characters of symmetric groups: sharp bounds on virtual degrees and the Witten zeta function
| العنوان: | Characters of symmetric groups: sharp bounds on virtual degrees and the Witten zeta function |
|---|---|
| المؤلفون: | Teyssier, Lucas, Thévenin, Paul |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Combinatorics, Mathematics - Probability, 20B30, 60J10, 05E10 |
| الوصف: | We prove sharp bounds on the virtual degrees introduced by Larsen and Shalev. This leads to improved bounds on characters of symmetric groups. We then sharpen bounds of Liebeck and Shalev concerning the Witten zeta function. Our main application is a characterization of the fixed-point free conjugacy classes whose associated random walk mixes in 2 steps. Comment: v2: 44 pages, 12 figures. We added character bounds in function of the number of cycles and two applications. v1: 37 pages, 11 figures, comments welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2411.04347 |
| رقم الانضمام: | edsarx.2411.04347 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |