Weight changing operators for automorphic forms on grassmannians and differential properties of certain theta lifts

Shaul Zemel

doi:10.1017/nmj.2016.57

Weight changing operators for automorphic forms on grassmannians and differential properties of certain theta lifts

Shaul Zemel^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We define weight changing operators for automorphic forms on Grassmannians, that is, on orthogonal groups, and investigate their basic properties. We then evaluate their action on theta kernels, and prove that theta lifts of modular forms, in which the theta kernel involves polynomials of a special type, have some interesting differential properties.

Original language	English
Pages (from-to)	186-221
Number of pages	36
Journal	Nagoya Mathematical Journal
Volume	228
DOIs	https://doi.org/10.1017/nmj.2016.57
State	Published - 1 Dec 2017

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Publisher Copyright:
© 2016 by The Editorial Board of the Nagoya Mathematical Journal .

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10.1017/nmj.2016.57

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abstract = "We define weight changing operators for automorphic forms on Grassmannians, that is, on orthogonal groups, and investigate their basic properties. We then evaluate their action on theta kernels, and prove that theta lifts of modular forms, in which the theta kernel involves polynomials of a special type, have some interesting differential properties.",

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AB - We define weight changing operators for automorphic forms on Grassmannians, that is, on orthogonal groups, and investigate their basic properties. We then evaluate their action on theta kernels, and prove that theta lifts of modular forms, in which the theta kernel involves polynomials of a special type, have some interesting differential properties.

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Weight changing operators for automorphic forms on grassmannians and differential properties of certain theta lifts

Abstract

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