Skip to main content
SpringerLink
Log in
Book cover

Multiple Dirichlet Series, L-functions and Automorphic Forms pp 193–204Cite as

Birkhäuser

The Adjoint L-Function of SU 2, 1

  • Chapter
  • First Online:

Part of the book series: Progress in Mathematics ((PM,volume 300))

Abstract

We modify Ginzburg’s construction for the adjoint L-function of GL(3) to accommodate quasi-split unitary groups.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. A. Ben-Artzi and D. Ginzburg, A tower of liftings for SU2, 1. J. Ramanujan Math. Soc. 18 (2003), no. 4, 369–383.

    MathSciNet  MATH  Google Scholar 

  2. W. Casselman and J. Shalika, The unramified principal series of p-adic groups. II. The Whittaker function. Compositio Math. 41 (1980), no. 2, 207–231.

    MathSciNet  MATH  Google Scholar 

  3. D. Ginzburg, Rankin-Selberg integral for the adjoint representation of GL3. Invent. Math. 105 (1991), no. 3, 571–588.

    Article  MathSciNet  MATH  Google Scholar 

  4. W. Fulton, J. Harris, Representation theory. A first course. Graduate Texts in Mathematics, 129. Readings in Mathematics. Springer-Verlag, New York, 1991. xvi+551 pp. ISBN: 0–387–97527–6; 0–387–97495–4

    Google Scholar 

  5. Kirillov, Anatol N. Decomposition of symmetric and exterior powers of the adjoint representation of \({\mathfrak{g}\mathfrak{l}}_{N}\). I. Unimodality of principal specialization of the internal product of the Schur functions, in Infinite analysis, Part A, B (Kyoto, 1991), 545–579, Adv. Ser. Math. Phys., 16, World Sci. Publ., River Edge, NJ, 1992.

    Google Scholar 

  6. S. Rallis, G. Schiffmann, Theta correspondence associated to G 2. Amer. J. Math. 111 (1989), no. 5, 801–849

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Southern Illinois University, 4408, 1245 Lincoln Drive, Carbondale, IL, 62901, USA

    Joseph Hundley

Authors
  1. Joseph Hundley
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Joseph Hundley .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, 94305-2125, California, USA

    Daniel Bump

  2. , Department of Mathematics, Boston College, Commonwealth Ave. 140, Chestnut Hill, 02467-3806, Massachusetts, USA

    Solomon Friedberg

  3. , Department of Mathematics, Columbia University, Broadway 2990, New York, 10027, New York, USA

    Dorian Goldfeld

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Hundley, J. (2012). The Adjoint L-Function of SU 2, 1 . In: Bump, D., Friedberg, S., Goldfeld, D. (eds) Multiple Dirichlet Series, L-functions and Automorphic Forms. Progress in Mathematics, vol 300. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8334-4_9

Download citation

Publish with us

Policies and ethics

Search

Navigation