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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....
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1186. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. As the main application of this theorem the authors prove that for any reduced irreducible classical root system \Phi of rank \geq 2 and a finitely generated commutative ring R with 1, the Steinberg group {\mathrm St}_{\Phi}(R) and the elementary Chevalley group \mathbb E_{\Phi}(R) have property (T). |
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| Notas: | "Volume 249, Number 1186 (seventh of 8 numbers), September 2017." |
| Descripción Física: | 1 online resource (v, 135 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 133-134) and index. |
| ISBN: | 9781470441395 147044139X 1470426048 9781470426040 |
| ISSN: | 0065-9266 ; |