3 citations · 9 across the 14 of their papers we have counts for
13 papers · 1 filter
The intersection of local Arthur packets for even orthogonal groups and applications
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo
We give algorithms to explicitly compute local Arthur packets and their intersections for even orthogonal groups over -adic fields using extended multi-segments. In additi…
Algorithms on the Pyasetskii involution on local Langlands parameters of classical groups
Alexander Hazeltine, Chi-Heng Lo
We give an algorithm to compute the Pyasetskii involution for , and . The algorithm is a combination of Moeglin-Waldspurger'…
On corank 4 unitary representations of classical groups
Baiying Liu, Chi-Heng Lo, Brian Wen
In this paper, we explicitly classify the corank 4 unitary representations of symplectic or split odd special orthogonal groups over non-Archimedean local fields of characteristic…
Covering Barbasch-Vogan duality and wavefront sets of genuine representations
Fan Gao, Baiying Liu, Chi-Heng Lo +1
In this paper, we start by defining a covering Barbasch-Vogan duality and prove some of its properties. Then, for genuine representations of -adic covering groups we formulate a…
The FPP Conjecture for p-adic Groups
Dihua Jiang, Baiying Liu, Chi-Heng Lo +1
The FPP conjecture, proposed by J. Adams, S. Miller, and D. Vogan and proved by D. Davis and L. Mason-Brown in arXiv:2411.01372, imposes a strong upper bound on the infinitesimal c…
On the complementary Arthur representations and unitary dual for p-adic classical groups
Alexander Hazeltine, Dihua Jiang, Baiying Liu +2
In [HJLLZ24], we proposed a new conjecture on the structure of the unitary dual of connected reductive groups over non-Archimedean local fields of characteristic zero based on thei…
On Arthur representations and the unitary dual
Alexander Hazeltine, Dihua Jiang, Baiying Liu +2
In this paper, we propose a new conjecture describing the structure of the unitary dual in terms of Arthur representations for connected reductive algebraic groups defined over any…
On the enhanced Shahidi conjecture and global applications
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo
In this paper, applying the intersection theory of local Arthur packets, for symplectic and split odd special orthogonal groups G_n, we give the first complete proof of the enhance…
On the upper bound of wavefront sets of representations of p-adic groups
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo +1
In this paper we study the upper bound of wavefront sets of irreducible admissible representations of connected reductive groups defined over non-Archimedean local fields of charac…
Vogan's Conjecture on local Arthur packets of -adic and a combinatorial Lemma
Chi-Heng Lo
For over a -adic field, Cunningham and Ray proved Vogan's conjecture, that is, local Arthur packets are the same as ABV packets. They used the endoscopic theory…
On the weak local Arthur packets conjecture for split classical groups
Baiying Liu, Chi-Heng Lo
Recently, motivated by the theory of real local Arthur packets, making use of the wavefront sets of representations over non-Archimedean local fields , Ciubotaru, Mason-Brown, a…
The closure ordering conjecture on local Arthur packets of classical groups
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo +1
In this paper, we prove the closure ordering conjecture on the local -parameters of representations in local Arthur packets of $\mathrm{G}_n=\mathrm{Sp}_{2n}, \mathrm{SO}_{2n+1}…
On the intersection of local Arthur packets for classical groups and applications
Alexander Hazeltine, Baiying Liu, Chi-Heng Lo
In this paper, for symplectic and split odd special orthogonal groups, we develop an account of theory on the intersection problem of local Arthur packets. Specifically, following…