Jun Yu

activity

20092021

most citedA note on closed subgroups of compact Lie groups

6 citations · 26 across the 25 of their papers we have counts for

collaborators

25 papers

math.RT2021

A strong multiplicity one theorem for dimension data

Jun Yu

We call the dimension data $D_{H_{1}}$ and $D_{H_{2}}$ of two closed subgroups $H_{1}$ and $H_{2}$ of a given compact Lie group $G$ {\it almost equal} if $\math…

math.RT2021

The functorial source problem via dimension data

Jun Yu

For an automorphic representation $π$ of Ramanujan type, there is a conjectural subgroup $H_{π}$ of the Langlands L-group $^{L} G$ associated to $π$ , called the {\it functio…

math.RT2020

Restriction of irreducible unitary representations of Spin(N,1) to parabolic subgroups

Gang Liu, Yoshiki Oshima, Jun Yu

In this paper, we obtain explicit branching laws for all irreducible unitary representations of $\Spin(N,1)$ restricted to a parabolic subgroup $P$ . The restriction turns out to be…

math.RT2020

Some new results on dimension datum

Jun Yu

In this paper we show three new results concerning dimension datum. Firstly, for two subgroups $H_{1}$ ( $≅ U (2 n + 1)$ ) and $H_{2}$ ( $≅ S p (n) \times S O (2 n + 2)$ ) of $S U (4 n + 2)$ , we…

math.RT2018★ 2 cited

A geometric interpretation of Kirillov's Conjecture

Gang Liu, Jun Yu

In this article, we give a natural geometric interpretation of Kirillov's conjecture for tempered representations in the framework of orbit method. This interpretation can also be…

math.GR2018

Acceptable compact Lie groups

Jun Yu

In this paper we show that for a connected compact Lie group to be acceptable it is necessary and sufficient that its derived subgroup is isomorphic to a direct product of the grou…