Poincaré square series for the Weil representation
نویسندگان
چکیده
منابع مشابه
Theta Series Associated with the Schrödinger-weil Representation
In this paper, we define the Schrödinger-Weil representation for the Jacobi group and construct covariant maps for the Schrödinger-Weil representation. Using these covariant maps, we construct Jacobi forms with respect to an arithmetic subgroup of the Jacobi group.
متن کاملThe Weil Representation
This is my senior honors thesis done in my final year as an undergraduate at Stanford University, under the direction of Professor Akshay Venkatesh. We will construct the Weil representation of SL2(R) through a natural action of the Heisenberg group Heis(R) on the space of square-integrable complex-valued functions L 2(R), together with the celebrated Stone-von Neumann theorem of functional ana...
متن کاملThe MAPLE package for calculating Poincaré series
Abstract. We offer a Maple package Poincare_Series for calculating the Poincaré series for the algebras of invariants/covariants of binary forms, for the algebras of joint invariants/covariants of several binary forms, for the kernel of Weitzenböck derivations,for the bivariate Poincaré series of algebra of covariants of binary d-form and for the multivariate Poincaré series of the algebras of ...
متن کاملAnalogue of Weil Representation for Abelian Schemes
This paper is devoted to the construction of projective actions of certain arithmetic groups on the derived categories of coherent sheaves on abelian schemes over a normal base S. These actions are constructed by mimicking the construction of Weil in [27] of a projective representation of the symplectic group Sp(V ∗ ⊕ V ) on the space of smooth functions on the lagrangian subspace V . Namely, w...
متن کاملThe Segal-Shale-Weil (oscillator) representation
The objects called oscillator representations are decades old, originally developed by physicists for their own purposes. For example, [Weyl 1928], [Stone 1930], [vonNeumann 1931]. Detailed study of the infinitedimensional representation theory of small classical groups appeared first in [Wigner 1939], [Bargmann 1947]. A more modern treatment of oscillator representations began with [Shale 1962...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2018
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-017-9986-2