Peter L. Guo

activity

20092026

most citeds-Inversion Sequences and P-Partitions of Type B

4 citations · 16 across the 19 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.CO2013

A Class of Kazhdan-Lusztig R-Polynomials and q-Fibonacci Numbers

William Y. C. Chen, Neil J. Y. Fan, Peter L. Guo +1

Let $S_{n}$ denote the symmetric group on ${1, 2, \dots, n}$ . For two permutations $u, v \in S_{n}$ such that $u \leq v$ in the Bruhat order, let $R_{u, v} (q)$ and $R_{u, v} (q)$ denote th…

math.CO2013★ 4 cited

s-Inversion Sequences and P-Partitions of Type B

William Y. C. Chen, Alan J. X. Guo, Peter L. Guo +2

Given a sequence $s = (s_{1}, s_{2}, \dots)$ of positive integers, the inversion sequences with respect to $s$ , or $s$ -inversion sequences, were introduced by Savage and Schuster in their…

math.CO2013

Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials

William Y. C. Chen, Neil J. Y. Fan, Alan J. X. Guo +3

Let $W$ be a Coxeter group, and for $u, v \in W$ , let $R_{u, v} (q)$ be the Kazhdan-Lusztig $R$ -polynomial indexed by $u$ and $v$ . In this paper, we present a combinatorial proof of th…