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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5129| Title: | Spinoriality of orthogonal representations of reductive groups |
| Authors: | JOSHI, ROHIT SPALLONE, STEVEN Dept. of Mathematics |
| Keywords: | Reductive groups Orthogonal representations Dynkin index Lifting criterion Weyl dimension formula 2020 2020-OCT-WEEK2 TOC-OCT-2020 |
| Issue Date: | Sep-2020 |
| Publisher: | American Mathematical Society |
| Citation: | Representation Theory, 24, 435-469. |
| Abstract: | Let $ G$ be a connected reductive group over a field $ F$ of characteristic 0, and $ \varphi : G \to \operatorname {SO}(V)$ an orthogonal representation over $ F$. We give criteria to determine when $ \varphi $ lifts to the double cover $ \operatorname {Spin}(V)$. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5129 https://doi.org/10.1090/ert/552 |
| ISSN: | 1088-4165 |
| Appears in Collections: | JOURNAL ARTICLES |
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