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Item Details
| Title:
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THE FUNDAMENTAL LEMMA FOR THE SHALIKA SUBGROUP OF (GL)(4)
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| By: |
Solomon Friedberg, Herve Jacquet |
| Format: |
Paperback |
| List price:
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£48.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821805401 |
| ISBN 13: |
9780821805404 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 January, 1996 |
| Series: |
Memoirs of the American Mathematical Society No. 594 |
| Pages: |
149 |
| Description: |
The authors establish the fundamental lemma for a relative trace formula; this fundamental lemma asserts that pairs of local orbital integrals, one integral of each pair arising on $GSp(4)$ and the other on $GL(4)$, are equal. |
| Synopsis: |
The authors establish the fundamental lemma for a relative trace formula. This fundamental lemma asserts that pairs of local orbital integrals, one integral of each pair arising on $GSp(4)$ and the other on $GL(4)$, are equal. The orbital integrals in question are exponential sums, and the fundamental lemma may also be described as a matching of Kloosterman and relative Kloosterman sums on the two different groups. To show that these are equal for each relevant Weyl groups element, the authors compute the Mellin transforms and match them in all cases. The authors also describe the L-function heuristics which motivate this work, its possible generalizations, and an application of the relative trace formula to the study of L-packets. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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