Theta Lifting of Unitary Lowest Weight Modules and Their Associated Cycles

Arithmetic theta lifting and L-derivatives for unitary groups, I

Arithmetic theta lifting and L-derivatives for unitary groups, II

Oplus-supplemented modules with respect to images of a fully invariant submodule

Lifting modules and their various generalizations as some main concepts in module theory have been studied and investigated extensively in recent decades. Some authors tried to present some homological aspects of lifting modules and -supplemented modules. In this work, we shall present a homological approach to -supplemented modules via fully invariant submodules. Lifting modules and H-suppleme...

CAP representations of inner forms of Sp ( 4 ) with respect to Klingen parabolic subgroup Takanori Yasuda

The unitary group of the hyperbolic hermitian space of dimension two over a quaternion division algebra over a number field is a non-quasisplit inner form of Sp(4), and does not have a parabolic subgroup corresponding to the Klingen parabolic subgroup. However, it has CAP representations with respect to the Klingen parabolic subgroup. We construct them by using the theta lifting from the unitar...

Clifford Algebras and Shimura ’ S Lift for Theta - Series Fedor Andrianov

Automorph class theory formalism is developed for the case of integral nonsingular quadratic forms in an odd number of variables. As an application, automorph class theory is used to construct a lifting of similitudes of quadratic Z-modules of arbitrary nondegenerate ternary quadratic forms to morphisms between certain subrings of associated Clifford algebras. The construction explains and gene...