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Representation Stability and Finite Orthogonal Groups

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Main Authors: Arun S., Kannan, Zifan, Wang
Format: Book
Language:English
Published: Springer 2023
Subjects:
category OrI(R)
category of OrI(R)-modules
Online Access:https://link.springer.com/article/10.1007/s10468-023-10202-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7480
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spelling 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 8.891053

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