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Structure theorems for vector valued Siegel modular forms of degree 2 and weight det(k) circle times Sym(10)
| Title: | Structure theorems for vector valued Siegel modular forms of degree 2 and weight det(k) circle times Sym(10) |
| Authors: | Takemori, Sho Browse this author |
| Keywords: | Structure theorems of modular forms | | vector valued Siegel modular forms | | determinant of Siegel modular forms |
| Issue Date: | Nov-2016 |
| Publisher: | World Scientific Publishing |
| Journal Title: | International journal of mathematics |
| Volume: | 27 |
| Issue: | 12 |
| Start Page: | 1650101 |
| Publisher DOI: | 10.1142/S0129167X16501019 |
| Abstract: | We prove the explicit structure theorems of modules circle plus(k) M-detk circle times Sym(10)(Sp(2)(Z(2))) of vector valued Siegel modular forms of degree 2, where k runs over the set of even integers or odd integers. We also check the conjecture given by Ibukiyama [Vector valued Siegel modular forms of symmetric tensor weight of small degrees, Comment. Math. Univ. St. Pauli 61 (2012) 51-75.] for modules of vector valued Siegel modular forms of degree 2 of weights det* circle times Sym(8) and det* circle times Sym(10). |
| Rights: | Electronic version of an article published as International Journal of Mathematics , 27, 12, 2016, 10.1142/S0129167X16501019 © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0129167X16501019 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/67521 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 竹森 翔
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