Representation Stability and Finite Orthogonal Groups
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10468-023-10202-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7480 |
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oai:localhost:PNK-74802023-04-04T03:52:52Z Representation Stability and Finite Orthogonal Groups Arun S., Kannan Zifan, Wang category OrI(R) category of OrI(R)-modules CC BY In this paper, we prove homological stability results about orthogonal groups over finite commutative rings where 2 is a unit. Inspired by Putman and Sam (2017), we construct a category OrI(R) and prove a local Noetherianity theorem for the category of OrI(R)-modules. This implies an asymptotic structure theorem for orthogonal groups. In addition, we show general homological stability theorems for orthogonal groups, with both untwisted and twisted coefficients. 2023-04-04T03:52:52Z 2023-04-04T03:52:52Z 2023 Book https://link.springer.com/article/10.1007/s10468-023-10202-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7480 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
category OrI(R) category of OrI(R)-modules |
| spellingShingle |
category OrI(R) category of OrI(R)-modules Arun S., Kannan Zifan, Wang Representation Stability and Finite Orthogonal Groups |
| description |
CC BY |
| format |
Book |
| author |
Arun S., Kannan Zifan, Wang |
| author_facet |
Arun S., Kannan Zifan, Wang |
| author_sort |
Arun S., Kannan |
| title |
Representation Stability and Finite Orthogonal Groups |
| title_short |
Representation Stability and Finite Orthogonal Groups |
| title_full |
Representation Stability and Finite Orthogonal Groups |
| title_fullStr |
Representation Stability and Finite Orthogonal Groups |
| title_full_unstemmed |
Representation Stability and Finite Orthogonal Groups |
| title_sort |
representation stability and finite orthogonal groups |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10468-023-10202-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7480 |
| _version_ |
1762274898479153152 |
| score |
8.893527 |