Jian Ding

activity

20172026

collaborators

4 papers

math.CO2026

A common interleaver for two antichain polynomials on $[k]$ $\times$ $P_{n, s}$

Jian Ding, Lingen Ding

The first author and Dong \cite{DD} proposed three conjectures on antichain generating polynomials. Jiang \cite{Jiang} recently proved Conjectures 4.3 and 4.5, concerning real-root…

math.CO2019

Antichain generating polynomials of posets

Jian Ding, Chao-Ping Dong

This paper gives a formula for the antichain generating polynomial $N_{[k] \times Q}$ of the poset $[k] \times Q$ , where $[k]$ is an arbitrary chain and $Q$ is any finite g…

math.RT2018

Dirac series for some real exceptional Lie groups

Jian Ding, Chao-Ping Dong, Liang Yang

Up to equivalence, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology for the following simple real exceptional Lie groups: ${\rm EI}=…

math.RT2017

Unitary Representations with Dirac cohomology: a finiteness result for complex Lie groups

Jian Ding, Chao-Ping Dong

Let $G$ be a connected complex simple Lie group, and let $G^{d}$ be the set of all equivalence classes of irreducible unitary representations with non-vanishing…

A common interleaver for two antichain polynomials on [k]× Pn,s​

Antichain generating polynomials of posets

Dirac series for some real exceptional Lie groups

Unitary Representations with Dirac cohomology: a finiteness result for complex Lie groups

A common interleaver for two antichain polynomials on $[k]$ $\times$ $P_{n, s}$