26 citations · 44 across the 14 of their papers we have counts for
14 papers
Sign-twisted generating functions of the odd length for Weyl groups of type
Haihang Gu, Houyi Yu
The odd length in Weyl groups is a new statistic analogous to the classical Coxeter length, and features combinatorial and parity conditions. We establish explicit closed product f…
On the cancellation-free antipode formula for the Malvenuto-Reutenauer Hopf Algebra
Da Xu, Houyi Yu
For the Malvenuto-Reutenauer Hopf algebra of permutations, we provide a cancellation-free antipode formula for any permutation of the form $ab1\cdots(b-1)(b+1)\cdots(a-1)(a+1)\cdot…
The weak order on the hyperoctahedral group and the monomial basis for the Hopf algebra of signed permutations
Houyi Yu
We give a combinatorial description for the weak order on the hyperoctahedral group. This characterization is then used to analyze the order-theoretic properties of the shifted pro…
Renormalization of quasisymmetric functions
Li Guo, Houyi Yu, Bin Zhang
As a natural basis of the Hopf algebra of quasisymmetric functions, monomial quasisymmetric functions are formal power series defined from compositions. The same definition applies…
The Hopf algebras of signed permutations, of weak quasi-symmetric functions and of Malvenuto-Reutenauer
Li Guo, Jean-Yves Thibon, Houyi Yu
This paper builds on two covering Hopf algebras of the Hopf algebra QSym of quasi-symmetric functions, with linear bases parameterized by compositions. One is the Malvenuto-Reutena…
Rigidity for the Hopf algebra of quasi-symmetric functions
Wanwan Jia, Zhengpan Wang, Houyi Yu
We investigate the rigidity for the Hopf algebra of quasisymmetric functions with respect to the monomial, the fundamental and the quasisymmetric Schur basis, respecti…