Spectral decomposition of a covering of GL(r) : the Borel case / Heng Sun.

Format:

Book

Author/Creator:

Sun, Heng, 1968- author.

Series:

Memoirs of the American Mathematical Society ; no. 743.

Memoirs of the American Mathematical Society, 0065-9266 ; number 743

Language:

English

Subjects (All):

Eisenstein series.

Spectral theory (Mathematics).

Decomposition (Mathematics).

Physical Description:

1 online resource (79 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2002]

Language Note:

English

Summary:

Let $F$ be a number field and ${\bf A}$ the ring of adeles over $F$. Suppose $\overline{G({\bf A})}$ is a metaplectic cover of $G({\bf A})=GL(r, {\bf A})$ which is given by the $n$-th Hilbert symbol on ${\bf A}$

Contents:

""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.1. The Group""; ""1.2. The Diagonal Subgroup and Its Representations""; ""1.3. Intertwining Operators""; ""1.4. Product of Two Intertwining Operators""; ""1.5. Normalization of Intertwining Operators""; ""1.6. The Special Value of an Intertwining Operator""; ""1.7. The Langlands Quotient""; ""Chapter 2. Local Intertwining Operators""; ""2.1. Irreducibility and Intertwining Operators""; ""2.2. Speh Modules (p-adic Case)""; ""2.3. The Principal Lemma""; ""2.4. Generalization and Completion of the Proof""

""2.5. The Complex Case""""Chapter 3. Spectrum Associated with the Diagonal Subgroup""; ""3.1. The Global Metaplectic Group""; ""3.2. Representations of Metaplectic Groups""; ""3.3. Statement of the Problem""; ""3.4. Representations of the Diagonal Subgroup""; ""3.5. The Main Theorem""; ""Chapter 4. Contour Integration (after MW)""; ""4.1. Holomorphy at the Origin of a Singular Hyper-plane""; ""4.2. Corollaries""; ""4.3. Residues by Induction""; ""Bibliography""; ""Index""

Notes:

"March 2002, volume 156, number 743 (fourth of 5 numbers)."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-0336-6