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Property (T) for groups graded by root systems /
The authors introduce and study the class of groups graded by root systems. They prove that if \Phi is an irreducible classical root system of rank \geq 2 and G is a group graded by \Phi, then under certain natural conditions on the grading, the union of the root subgroups is a Kazhdan subset of G....
| Call Number: | Libro Electrónico |
|---|---|
| Main Authors: | , , |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
2017.
|
| Series: | Memoirs of the American Mathematical Society ;
no. 1186. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Introduction
- Preliminaries
- Generalized spectral criterion
- Root Systems
- Property (T) for groups graded by root systems
- Reductions of root systems
- Steinberg groups over commutative rings
- Twisted Steinberg groups
- Application: Mother group with property (T)
- Estimating relative Kazhdan constants
- Appendix A: Relative property (T) for (\mathrm St_n(R)\ltimes R^n, R^n)
- Bibliography
- Index.