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pro vyhledávání: '"Loke, Hung Yean"'
Autor:
Loke, Hung Yean, Przebinda, Tomasz
We show that Howe's big quotient is obtained via the tensoring over appropriate algebra.
Externí odkaz:
http://arxiv.org/abs/2405.11538
Autor:
Loke, Hung Yean, Przebinda, Tomasz
For a real irreducible dual pair there is an integral kernel operator which maps the distribution character of an irreducible admissible representation of the group with the smaller or equal rank to an invariant eigendistribution on the group with th
Externí odkaz:
http://arxiv.org/abs/2303.02192
Exceptional groups of type $E_6$ contain dual pairs where one member is $\mathrm{Spin}(8)$, and the other is $T\rtimes \mathbb Z/2\mathbb Z$, where $T$ is a two-dimensional torus and the non-trivial element in $\mathbb Z/2\mathbb Z$ acts on $T$ by th
Externí odkaz:
http://arxiv.org/abs/2302.02492
Autor:
Loke, Hung Yean, Przebinda, Tomasz
Given a real irreducible dual pair there is an integral kernel operator which maps the distribution character of an irreducible admissible representation of the group with the smaller or equal rank to an invariant eigendistribution on the group with
Externí odkaz:
http://arxiv.org/abs/2207.07298
Akademický článek
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Autor:
Loke, Hung Yean, Savin, Gordan
We study the exceptional theta correspondence for real groups obtained by restricting the minimal representation of the split exceptional group of the type E_n, to a split dual pair where one member is the exceptional group of the type G_2. We prove
Externí odkaz:
http://arxiv.org/abs/1705.07145
Autor:
Loke, Hung Yean, Ma, Jia-jun
By the works of Yu, Kim and Hakim-Murnaghan, we have a parameterization and construction of all supercuspidal representations of a reductive $p$-adic group in terms of supercuspidal data, when $p$ is sufficiently large. In this paper, we will define
Externí odkaz:
http://arxiv.org/abs/1512.01797
In this paper we study the local theta correspondences between epipelagic supercupsidal representations of a type I classical dual pair $(G,G')$ over $p$-adic fields. We show that, besides an exceptional case, an epipelagic supercupsidal representati
Externí odkaz:
http://arxiv.org/abs/1501.07069
Autor:
Loke, Hung Yean, Ma, Jia-jun
Publikováno v:
Compositio Math. 151 (2015) 179-206
Let $(G,G')$ be a type I irreducible reductive dual pair in $\mathrm{Sp}(W_{\mathbb{R}})$. We assume that $(G,G')$ is in the stable range where $G$ is the smaller member. Let $K$ and $K'$ be maximal compact subgroups of $G$ and $G'$ respectively. Let
Externí odkaz:
http://arxiv.org/abs/1302.1031
Autor:
Loke, Hung Yean, Savin, Gordan
We show that every exceptional Lie algebra over a number field can be obtained by Tits' construction from an octonion algebra O and a cubic Jordan algebra J. In particular, the exceptional Lie algebra contains a dual pair which is the direct sum of t
Externí odkaz:
http://arxiv.org/abs/1212.1957