منابع مشابه
On the Tits building of paramodular groups
We investigate the Tits buildings of the paramodular groups with or without canonical level structure, respectively. These give important combinatorical information about the boundary of the toroidal compactification of the moduli spaces of non-principally polarised Abelian varieties. We give a full classification of the isotropic lines for all of these groups. Furthermore, for square-free, cop...
متن کاملPacket structure and paramodular forms
We explore the consequences of the structure of the discrete automorphic spectrum of the split orthogonal group SO(5) for holomorphic Siegel modular forms of degree 2. In particular, the combination of the local and global packet structure with the local paramodular newform theory for GSp(4) leads to a strong multiplicity one theorem for paramodular cusp forms.
متن کاملOn Modular Forms for the Paramodular Group
Contents 1 Definitions 3 2 Linear independence at different levels 6 3 The level raising operators 8 4 Oldforms and newforms 13 5 Saito–Kurokawa liftings 16 6 Two theorems 23 Appendix 26 References 28 Introduction Let F be a p–adic field, and let G be the algebraic F –group GSp(4). In our paper [RS] we presented a conjectural theory of local newforms for irreducible, admissible, generic represe...
متن کاملNon-vanishing of Fundamental Fourier Coefficients of Paramodular Forms
of fundamental Fourier coefficients, which plays an important role in the theory of Bessel models and L-functions. For instance, in certain cases, non-vanishing of a fundamental Fourier coefficient of a cuspidal Siegel modular form F is equivalent to existence of a global Bessel model of fundamental type (cf. [16, Lemma 4.1]) and is used to show analytic properties and special value results for...
متن کاملGeneral Twisting of Algebras
We introduce the concept of pseudotwistor (with particular cases called twistor and braided twistor) for an algebra (A,μ, u) in a monoidal category, as a morphism T : A⊗ A → A ⊗ A satisfying a list of axioms ensuring that (A,μ ◦ T, u) is also an algebra in the category. This concept provides a unifying framework for various deformed (or twisted) algebras from the literature, such as twisted ten...
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ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2014
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s1793042114500146