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1 vote
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139 views

Question on two types of Frobenius theorem in $p$-adic groups

Let $G$ be a $p$-adic classical group and let $P_0$ be a minimal parabolic subgroup of $G$. Let $P=MN$ be a standard parabolic subgroup containing $P_0$. Let $\text{Ind}$ and $\text{Jac}$ be the ...
Andrew's user avatar
  • 1,019
4 votes
0 answers
134 views

Two definitions of intertwining operators and Harish-Chandra's Plancherel measure

I guess this question is a well-known fact to experts, but I didn't find any explicit explanation in the literature. So let $F$ be a $p$-adic field. (There're parallel definitions and results in the ...
youknowwho's user avatar
1 vote
0 answers
193 views

A p-adic analogue of a result due to Kirillov

Let $k$ be a non-Archimedean local field with char$(k)=0$. Let $N$ be the group of $k-$rational points of a unipotent algebraic group defined over $k$. It is known that $N$ is a locally compact and ...
Pedro A. Matos's user avatar
3 votes
0 answers
89 views

the moment set of unitary representation of lie groups, analogue in the p-adic case

Let $G$ be a real Lie group with Lie algebra $\mathfrak{g}$ and $\pi$ a unitary representation of $G$ on a separable Hilbert space $\mathcal{H}_{\pi}$. Note $\mathcal{H}_{\pi}^{\infty}$ the space of $...
Rajkarov's user avatar
  • 933
6 votes
2 answers
431 views

Spherical functions for sl(2,Q_p)

I kindly would like to ask you the following- I am refering to page 175 in the Book by Gelfand, Graev, Shapiro, etc, on "Automorphic forms ..." My question to which I would kindly ask you to answer ...
Florin Radulescu's user avatar