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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7629| Title: | Automorphic tensor products and cuspidal cohomology of the GL(4) |
| Authors: | BHAGWAT, CHANDRASHEEL MONDAL, SUDIPA Dept. of Mathematics |
| Keywords: | Cusp forms Automorphic representations Cuspidal cohomology 2023-FEB-WEEK1 TOC-FEB-2023 2023 |
| Issue Date: | Jan-2023 |
| Publisher: | World Scientific Publishing Co Pte Ltd |
| Citation: | International Journal of Number Theory. |
| Abstract: | In this paper, we establish an asymptotic lower bound estimate on the contribution of cuspidal automorphic representations of GL4(AQ)GL4(πΈβ) to cuspidal cohomology of the GL4GL4 which are obtained from automorphic tensor product of two automorphic representations of GL2(AQ)GL2(πΈβ) of given weights and with varying level structure. In the end, we also prove that the symmetric cube of a representation of GL2GL2 and the automorphic tensor product of two representations of GL2GL2 cannot be equal (up to a twist by a character of GL1GL1) to each other, under the suitable assumptions on the representations being cuspidal and cohomological |
| URI: | https://doi.org/10.1142/S1793042123500549 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7629 |
| ISSN: | 1793-0421 1793-7310 |
| Appears in Collections: | JOURNAL ARTICLES |
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