Please use this identifier to cite or link to this item: 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: Jun-2023
Publisher: World Scientific Publishing Co Pte Ltd
Citation: International Journal of Number Theory, 19(05), 1097-1110.
Abstract: In this paper, we establish an asymptotic lower bound estimate on the contribution of cuspidal automorphic representations of GL4(AQ)GL4(π”Έβ„š) to cuspidal cohomology of the GL4GL4 which are obtained from automorphic tensor product of two automorphic representations of GL2(AQ)GL2(π”Έβ„š) 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
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