| Softcover ISBN: | 978-2-37905-218-7 |
| Product Code: | SMFMEM/187 |
| List Price: | $77.00 |
| AMS Member Price: | $61.60 |
| Softcover ISBN: | 978-2-37905-218-7 |
| Product Code: | SMFMEM/187 |
| List Price: | $77.00 |
| AMS Member Price: | $61.60 |
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Book DetailsMémoires de la Société Mathématique de FranceVolume: 187; 2015; 148 ppMSC: Primary 22; 11
Note: This book is in French.
Let F be a \(p\)-adic field and let \(G\) be a connected reductive group defined over \( F\). The author assumes \(p\) is large. Denote by \( \mathfrak{g}\) the Lie algebra of \(G\). The author normalizes suitably a Fourier-transform \(f \mapsto \hat{f}\) on \(C_{c}^{\infty} (\mathfrak{g}(F))\).
In a preceeding paper, the author defined the space \(\mathrm{FC}(\mathfrak{g}(F))\) of functions \(f\in C_{c}^{\infty} (\mathfrak{g}(F))\) such that the orbital integrals of \(f\) and of \(\hat {f}\) are \(0\) for each element of \((\mathfrak{g}(F))\) which is not topologically nilpotent. These spaces are compatible with endoscopic transfer. The author assumes here that \(G\) is absolutely quasi-simple and simply connected. He defines a decomposition of the space \( \mathrm{FC}(\mathfrak{g}(F))\) in a direct sum of subspaces such that the endoscopic transfer becomes (more or less) clear on each subspace. In particular, if \(G\) is quasi-split, the author describes the subspace \(\mathrm{FC^{st}}(\mathfrak{g}(F))\) of “stable” elements in \(FC(\mathfrak{g}(F))\).
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
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Note: This book is in French.
Let F be a \(p\)-adic field and let \(G\) be a connected reductive group defined over \( F\). The author assumes \(p\) is large. Denote by \( \mathfrak{g}\) the Lie algebra of \(G\). The author normalizes suitably a Fourier-transform \(f \mapsto \hat{f}\) on \(C_{c}^{\infty} (\mathfrak{g}(F))\).
In a preceeding paper, the author defined the space \(\mathrm{FC}(\mathfrak{g}(F))\) of functions \(f\in C_{c}^{\infty} (\mathfrak{g}(F))\) such that the orbital integrals of \(f\) and of \(\hat {f}\) are \(0\) for each element of \((\mathfrak{g}(F))\) which is not topologically nilpotent. These spaces are compatible with endoscopic transfer. The author assumes here that \(G\) is absolutely quasi-simple and simply connected. He defines a decomposition of the space \( \mathrm{FC}(\mathfrak{g}(F))\) in a direct sum of subspaces such that the endoscopic transfer becomes (more or less) clear on each subspace. In particular, if \(G\) is quasi-split, the author describes the subspace \(\mathrm{FC^{st}}(\mathfrak{g}(F))\) of “stable” elements in \(FC(\mathfrak{g}(F))\).
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
