
eBook ISBN: | 978-0-8218-8519-2 |
Product Code: | MEMO/215/1013.E |
List Price: | $70.00 |
MAA Member Price: | $63.00 |
AMS Member Price: | $42.00 |

eBook ISBN: | 978-0-8218-8519-2 |
Product Code: | MEMO/215/1013.E |
List Price: | $70.00 |
MAA Member Price: | $63.00 |
AMS Member Price: | $42.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 215; 2011; 97 ppMSC: Primary 22; Secondary 11
The theory of \(L\)-indistinguishability for inner forms of \(SL_2\) has been established in the well-known paper of Labesse and Langlands (L-indistinguishability for
SL \((2)\). Canad. J. Math. 31 (1979), no. 4, 726–785).In this memoir, the authors study \(L\)-indistinguishability for inner forms of \(SL_n\) for general \(n\). Following the idea of Vogan in (The local Langlands conjecture. Representation theory of groups and algebras, 305–379, Contemp. Math. 145 (1993)), they modify the \(S\)-group and show that such an \(S\)-group fits well in the theory of endoscopy for inner forms of \(SL_n\).
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Table of Contents
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Chapters
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1. Introduction
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2. Restriction of Representations
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3. Whittaker Normalization over Local Fields
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4. Restriction of Cusp Forms
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5. Whittaker Normalization over Global Fields
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6. Endoscopy and Its Automorphisms
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7. A Conjectural Formula for Endoscopic Transfer
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8. Descent to Levi Subgroups
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9. Relevance Conditions for Langlands Parameters
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10. Endoscopy for Inner Forms of $GL_n$
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11. Local Langlands Correspondence for Inner Forms of $GL_n$
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12. $L$-packets for Inner Forms of $SL_n$
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13. $L$-packets for Inner Forms of $SL_n$ over Archimedean Fields
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14. Multiplicity Formula for $SL_n$
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15. Multiplicity Formula for Inner Forms of $SL_n$
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16. Lemmas for Trace Formula
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17. Trace Formula
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A. Transfer Factors
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The theory of \(L\)-indistinguishability for inner forms of \(SL_2\) has been established in the well-known paper of Labesse and Langlands (L-indistinguishability for
In this memoir, the authors study \(L\)-indistinguishability for inner forms of \(SL_n\) for general \(n\). Following the idea of Vogan in (The local Langlands conjecture. Representation theory of groups and algebras, 305–379, Contemp. Math. 145 (1993)), they modify the \(S\)-group and show that such an \(S\)-group fits well in the theory of endoscopy for inner forms of \(SL_n\).
-
Chapters
-
1. Introduction
-
2. Restriction of Representations
-
3. Whittaker Normalization over Local Fields
-
4. Restriction of Cusp Forms
-
5. Whittaker Normalization over Global Fields
-
6. Endoscopy and Its Automorphisms
-
7. A Conjectural Formula for Endoscopic Transfer
-
8. Descent to Levi Subgroups
-
9. Relevance Conditions for Langlands Parameters
-
10. Endoscopy for Inner Forms of $GL_n$
-
11. Local Langlands Correspondence for Inner Forms of $GL_n$
-
12. $L$-packets for Inner Forms of $SL_n$
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13. $L$-packets for Inner Forms of $SL_n$ over Archimedean Fields
-
14. Multiplicity Formula for $SL_n$
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15. Multiplicity Formula for Inner Forms of $SL_n$
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16. Lemmas for Trace Formula
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17. Trace Formula
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A. Transfer Factors