Premium
Sturm's operator acting on vector valued K ‐types
Author(s) -
Maurischat Kathrin
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900200
Subject(s) - mathematics , holomorphic function , scalar (mathematics) , operator (biology) , siegel modular form , projection (relational algebra) , modular design , multiplication operator , pure mathematics , shift operator , modular form , algebra over a field , compact operator , algorithm , geometry , computer science , extension (predicate logic) , biochemistry , chemistry , repressor , hilbert space , transcription factor , gene , programming language , operating system
We define Sturm's operator for vector valued Siegel modular forms obtaining an explicit description of their holomorphic projection in case of large absolute weight. However, for small absolute weight, Sturm's operator produces phantom terms in addition. This confirms our earlier results for scalar Siegel modular forms.