Level One Algebraic Cusp Forms of Classical Groups of Small Rank Paperback / softback
by Gaetan Chenevier, David A. Renard
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
The authors determine the number of level $1$, polarized, algebraic regular, cuspidal automorphic representations of $\mathrm{GL}_n$ over $\mathbb Q$ of any given infinitesimal character, for essentially all $n \leq 8$.
For this, they compute the dimensions of spaces of level $1$ automorphic forms for certain semisimple $\mathbb Z$-forms of the compact groups $\mathrm{SO}_7$, $\mathrm{SO}_8$, $\mathrm{SO}_9$ (and ${\mathrm G}_2$) and determine Arthur's endoscopic partition of these spaces in all cases.
They also give applications to the $121$ even lattices of rank $25$ and determinant $2$ found by Borcherds, to level one self-dual automorphic representations of $\mathrm{GL}_n$ with trivial infinitesimal character, and to vector valued Siegel modular forms of genus $3$.
A part of the authors' results are conditional to certain expected results in the theory of twisted endoscopy.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:122 pages
- Publisher:American Mathematical Society
- Publication Date:30/09/2015
- Category:
- ISBN:9781470410940
Other Formats
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Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:122 pages
- Publisher:American Mathematical Society
- Publication Date:30/09/2015
- Category:
- ISBN:9781470410940
