17 citations · 23 across the 8 of their papers we have counts for
10 papers
A finiteness result for split exceptional dual pairs
Hung Yean Loke, Gordan Savin
We prove that big theta lifts have finite length for thirteen split exceptional dual pairs arising from the minimal representations of the split real groups of types , ,…
The big theta
Hung Yean Loke, Tomasz Przebinda
We show that Howe's big quotient is obtained via the tensoring over appropriate algebra.
A Cauchy--Harish-Chandra integral for a dual pair over a p-adic field, the definition and a conjecture
Hung Yean Loke, Tomasz Przebinda
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 smalle…
A family of Spin(8) dual pairs: the case of real groups
Wee Teck Gan, Hung Yean Loke, Annegret Paul +1
Exceptional groups of type contain dual pairs where one member is , and the other is , where is a two-dimensional torus a…
The character correspondence in the stable range over a p-adic field
Hung Yean Loke, Tomasz Przebinda
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 smal…
Local Theta Correspondences between Supercuspidal Representations
Hung Yean Loke, Jia-jun Ma
By the works of Yu, Kim and Hakim-Murnaghan, we have a parameterization and construction of all supercuspidal representations of a reductive -adic group in terms of supercuspida…
Local theta correspondences between epipelagic supercuspidal representations
Hung Yean Loke, Jia-jun Ma, Gordan Savin
In this paper we study the local theta correspondences between epipelagic supercupsidal representations of a type I classical dual pair over -adic fields. We show that,…
Invariants and K-spectrums of local theta lifts
Hung Yean Loke, Jia-jun Ma
Let be a type I irreducible reductive dual pair in . We assume that is in the stable range where is the smaller member. Let a…
Rational forms of exceptional dual pairs
Hung Yean Loke, Gordan Savin
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 exc…
Transfer of K-types on local theta lifts of characters and unitary lowest weight modules
Hung Yean Loke, Jia-Jun Ma, U-Liang Tang
In this paper we study representations of the indefinite orthogonal group O(n,m) which are local theta lifts of one dimensional characters or unitary lowest weight modules of the d…