1 option
Unipotent representations, theta correspondences, and quantum induction / Hongyu He.
Math/Physics/Astronomy Library QA3 .A57 no.1496
Available
- Format:
- Book
- Author/Creator:
- He, Hongyu, author.
- Series:
- Memoirs of the American Mathematical Society ; number 1496.
- Memoirs of the American Mathematical Society, 0065-9266 ; number 1496
- Language:
- English
- Subjects (All):
- Algebra.
- algebra.
- Physical Description:
- vii, 90 pages : illustrations ; 26 cm.
- Place of Publication:
- Providence, RI : American Mathematical Society, 2024.
- Summary:
- In this paper, we construct unipotent representations for the real orthagonal groups and the metaplectic groups in the sense of Vogan. Our construction is based on quantum induction which involves the compositions of even number of theta correspondences. In particular, our results imply that there are irreducible unitary representations attached to each special nilpotent orbit.
- Contents:
- Chapter 1. Introduction
- Chapter 2. Invariants
- Chapter 3. Nilpotent orbits
- Chapter 4. Theta correspondences and quantum induction
- Chapter 5. A nonvanishing theorem
- Chapter 6. Construction of unipotent representations, unitarity and infinitesimal character
- Chapter 7. Associated varieties and existence of N(OD)
- Chapter 8. Perspectives
- Appendix
- Bibliography.
- Notes:
- Includes bibliographical references (pages 87-90).
- ISBN:
- 1470470306
- 9781470470302
- OCLC:
- 1452959562
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.