activity
20052026
most citedDirac cohomology and Euler-Poincaré pairing for weight modules

2 citations · 8 across the 11 of their papers we have counts for

collaborators

11 papers

math.RT2026

Toric degeneration for hybrid qudit spaces

Jing-Song Huang, Soo Teck Lee, Pavle Pandžić

We consider covariant algebras attached to certain hybrid qudit spaces. We describe these algebras in terms of generators and relations, and we show they are flat deformations of c…

math.RT2020

Dirac cohomology and character lifting

Jing-Song Huang

The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules, or Dirac index of the trivial representation. The lifting of…

math.RT2020★ 2 cited

Symplectic Dirac cohomology and lifting of characters to metaplectic groups

Jing-Song Huang

We formulate the transfer factor of character lifting from orthogonal groups to symplectic groups by Adams in the framework of symplectic Dirac cohomology for the Lie superalgebras…

math.RT2020

Partial Dirac Cohomology and Tempered Representations

Meng-Kiat Chuah, Jing-Song Huang, Joseph A. Wolf

The tempered representations of a real reductive Lie group are naturally partitioned into series associated with conjugacy classes of Cartan subgroups of . We define par…

math.RT2017

Erratum and Addendum to: Invariant Differential Operators and Eigenspace Representations on an Affine Symmetric Space

Jing-Song Huang

The purpose of this erratum and addendum is to correct the errors in [1]. It consists of five components: 1. Lemma 7.1 and Proposition 7.2 are wrong and discarded; 2. A new proof o…

math.RT2017★ 2 cited

Dirac cohomology and Euler-Poincaré pairing for weight modules

Jingsong Huang, Wei Xiao

Let be a reductive Lie algebra over . For any simple weight module of with finite-dimensional weight spaces, we show that its Dirac cohomo…