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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 |
|---|---|
| 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 |
MARC
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| 001 | EBOOKCENTRAL_on1005657938 | ||
| 003 | OCoLC | ||
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| 019 | |a 1162549290 |a 1262679532 | ||
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| 020 | |a 147044139X |q (online) | ||
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| 020 | |a 1470426048 |q (acid-free paper) | ||
| 020 | |a 9781470426040 | ||
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| 082 | 0 | 4 | |a 512/.482 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Ershov, Mikhail, |d 1978- |e author. | |
| 245 | 1 | 0 | |a Property (T) for groups graded by root systems / |c Mikhail Ershov, Andrei Jaikin-Zapirain, Martin Kassabov. |
| 246 | 3 | |a Property for groups graded by root systems | |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (v, 135 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 249, number 1186 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 249, Number 1186 (seventh of 8 numbers), September 2017." | ||
| 504 | |a Includes bibliographical references (pages 133-134) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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). | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Root systems (Algebra) | |
| 650 | 6 | |a Systèmes de racines (Algèbre) | |
| 650 | 7 | |a Root systems (Algebra) |2 fast | |
| 700 | 1 | |a Jaikin-Zapirain, Andrei, |e author. | |
| 700 | 1 | |a Kassabov, Martin, |d 1977- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjwTbjftdyTx9kj9cwFcbm | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Property (T) for groups graded by root systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH4xDq6hkTX68fqKC43Rcd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Ershov, Mikhail, 1978- |t Property (T) for groups graded by root systems. |d Providence, Rhode Island : American Mathematical Society, [2017] |z 9781470426040 |w (DLC) 2017040912 |w (OCoLC)990124854 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1186. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5110286 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445115 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL5110286 | ||
| 994 | |a 92 |b IZTAP | ||