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Communications in Algebra Volume 45, 2017 - Issue 12
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Original Articles

Some types and covers for quaternionic hermitian groups

Thomas MadsenDepartment of Mathematics and Statistics, Youngstown State University, Youngstown, Ohio, USACorrespondence[email protected]
Pages 5230-5251 | Received 22 Sep 2016, Published online: 12 May 2017

References

  • Abramenko, P., Brown, K. S. (2008). Buildings. Vol. 248 of Graduate Texts in Mathematics. New York: Springer, Theory and Applications.
  • Bushnell, C. J., Henniart, G. (2006). The Local Langlands conjecture for GL(2). Vol. 335 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Berlin: Springer-Verlag.
  • Bushnell, C. J., Kutzko, P. C. (1998). Smooth representations of reductive p-adic groups: Structure theory via types. Proc. London Math. Soc. 77(3):582–634.
  • Carter, R. W. (1985). Finite Groups of Lie Type. Pure and Applied Mathematics. New York: John Wiley & Sons, Inc., New York. Conjugacy classes and complex characters, A Wiley-Interscience Publication.
  • Digne, F., Michel, J. (1991). Representations of Finite Groups of Lie Type. Vol. 21. London Mathematical Society Student Texts. Cambridge: Cambridge University Press.
  • Grabitz, M., Silberger, A. J., Zink, E.-W. (2001). Level zero types and Hecke algebras for local central simple algebras. J. Number Theory 91(1):92–125.
  • Kutzko, P., Morris, L. (2006). Level zero Hecke algebras and parabolic induction: The Siegel case for split classical groups. Int. Math. Res. Not. 40: Art. ID 97957.
  • Kutzko, P., Morris, L. (2009). Explicit Plancherel theorems for ℋ(q1,q2) and 𝕊𝕃2(F). Pure Appl. Math. Q. 5(1):435–467.
  • Lehrer, G. I. (1972). The discrete series of the linear groups SL(n, q). Math. Z. 127:138–144.
  • Morris, L. (1993). Tamely ramified intertwining algebras. Invent. Math. 114(1):1–54.
  • Morris, L. (1999). Level zero G-types. Compos. Math. 118(2):135–157.
  • Muić, G., Savin, G. (2000). Complementary series for Hermitian quaternionic groups. Canad. Math. Bull. 43(1):90–99.
  • Reiner, I. (2003). Maximal Orders. Vol. 28. London Mathematical Society Monographs. New Series. Oxford: The Clarendon Press, Oxford University Press, Corrected reprint of the 1975 original, With a foreword by M. J. Taylor.
  • Roche, A. (2002). Parabolic induction and the Bernstein decomposition. Compos. Math. 134(2):113–133.
  • Shahidi, F. (1990). A proof of Langlands’ conjecture on Plancherel measures; complementary series for p-adic groups. Ann. Math. 132(2):273–330.
  • Shahidi, F. (1992). Twisted endoscopy and reducibility of induced representations for p-adic groups. Duke Math. J. 66(1):1–41.

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