Round about Theta. Part I Prehistory
نویسنده
چکیده
The next steps after this prehistoric Part I will be directed to a description of the Howe operators introduced by Kudla and Millson and their special Schwartz forms and classes. This has as attractor the fact that the modular and automorphic forms arising naturally in context with these classes find very nice geometric interpretations of their Fourier coefficients and thus lead to an intriguing intertwining of elements of representation theory with algebraic and arithmetic geometry.
منابع مشابه
Lattices, Linear Codes, and Invariants, Part II, Volume 47, Number 11
1382 NOTICES OF THE AMS VOLUME 47, NUMBER 11 I n Part I of this article we introduced “lattices” L ⊂ Rn and described some of their relations with other branches of mathematics, focusing on “theta functions”. Those ideas have a natural combinatorial analogue in the theory of “linear codes”. This theory, though much more recent than the study of lattices, is more accessible, and its numerous app...
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