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- W1699518523 abstract "The space of elliptic modular forms of fixed weight and level can be identfied with a space of intertwining operators, from a holomorphic discrete series representation of SL2(R) to a space of automorphic forms. Moreover, multiplying elliptic modular forms corresponds to a branching problem involving tensor products of holomorphic discrete series representations. In this paper, we explicitly connect the ring structure on spaces of modular forms with branching problems in the representation theory of real semisimple Lie groups. Furthermore, we construct a family of intertwining operators from discrete series representations into tensor products of other discrete series representations. This collection of intertwining operators provides the well-known ring structure on spaces of holomorphic modular forms. An analytic subtlety prevents this collection of intertwining operators from directly yielding a ring structure on some spaces of modular forms. We discuss discrete decomposability, and its role in constructing ring structures." @default.
- W1699518523 created "2016-06-24" @default.
- W1699518523 creator A5067743265 @default.
- W1699518523 date "2006-11-30" @default.
- W1699518523 modified "2023-09-27" @default.
- W1699518523 title "Multiplying Modular Forms" @default.
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