Xing Gao

activity

20232026

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3 papers · 1 filter

math.CO2026

On the nonnegativity of monomial immanants for hook partitions

Xiangshuai Dong, Tingzeng Wu, Xing Gao

Let $A = (a_{ij})$ be an $n \times n$ real matrix and let $λ$ be a partition of $n$ . Let $ϕ^{λ}$ be the class function dual to the Young permutation character, and let $$ ϕ^λ[A] = \sum_…

math.CO2026

Solution to an open problem on the computational complexity of immanant

Xiangshuai Dong, Tingzeng Wu, Xing Gao

Immanants are a class of generalized matrix functions associated with the irreducible characters of the symmetric group. Bürgisser [SIAM J. Comput., 30 (2000), pp. 1023--1040] prov…

math.RA2026

Disuccessors, Gröbner-Shirshov bases and free L-dendriform algebras

Huhu Zhang, Xing Gao, Yuanyuan Zhang

In this paper, we prove respectively that the disuccessor operations on the associative operad $\as$, the Lie operad $\lie$, and the pre-Lie operad $\prelie$ preserve Gröbner-Shirs…