Given two matrices A and B in GL, ( F,), where q is a power of a prime and Fq is the finite field with q elements, we say that A and B are congruent if there is a matrix C in GL2( F,) such that A = CTBC. We show that there are q + 3 congruence classes in GL,(F,) for odd q and q + 1 classes for even
β¦ LIBER β¦
Spherical Bessel Functions of GL2(Fq2)
β Scribed by Zhengyu Mao
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 154 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
We study the spherical Bessel functions of generic representations of a reductive group over finite fields. We show that in the case of GL 2 (F q 2 ), the relation between spherical Bessel functions and Bessel functions gives another characterization of the Shintani lifting.
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