Inner product formula for Yoshida lifts
Ming-Lun Hsieh, Kenichi Namikawa
TL;DR
This paper derives an explicit inner product formula for vector-valued Yoshida lifts, enabling the demonstration of their non-vanishing property, which advances understanding of their structure and significance.
Contribution
It provides the first explicit inner product formula for vector-valued Yoshida lifts, facilitating their analysis and applications.
Findings
Established an explicit inner product formula for Yoshida lifts
Proved non-vanishing of Yoshida lifts using the formula
Enhanced understanding of the structure of Yoshida lifts
Abstract
We prove an explicit inner product formula for vector-valued Yoshida lifts. As a consequence, we obtain the non-vanishing of Yoshida lifts.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Nonlinear Waves and Solitons