Junyao Pan

activity

20242026

collaborators

5 papers

math.GR2026

A note on the horizontal class transposition group

Junyao Pan

Let $n$ be an integer with $n > 1$ . For every $r$ satisfying the inequalities $0 \leq r < n$ , the residue class modulo $n$ is defined as $r (n) = {r + k n ∣ k \in Z}$ , where $Z$ is t…

math.OA2025

Cuntz algebra automorphisms: transpositions

Junyao Pan

Permutative automorphisms of the Cuntz algebras $O_{n}$ are in bijection with the stable permutations of $[n]^{t}$ . They are also the elements of the reduced Weyl group of $A…

math.CO2025

On two conjectures about pattern avoidance of cyclic permutations

Junyao Pan

Let $π$ be a cyclic permutation that can be expressed in its one-line form as $π = π_{1} π_{2} \cdot \cdot \cdot π_{n}$ and in its standard cycle form as $π = (c_{1}, c_{2}, ..., c_{n})$ where $c_1=…

math.GR2024

A note on the Cuntz algebra automorphisms

Junyao Pan

Permutative automorphisms of the Cuntz algebras $O_{n}$ are in bijection with the stable permutations of $[n]^{k}$ . They are also the elements of the restricted Weyl group of…

math.GR2024

Automorphism group of the graph $A (n, k, r)$

Junyao Pan

Let $[n]^{(k)}$ be the set of all ordered $k$ -tuples of distinct elements in $[n] = {1, 2, ..., n}$ . The $(n, k, r)$ -arrangement graph $A (n, k, r)$ with $1 \leq r \leq k \leq n$ , is the grap…

A note on the horizontal class transposition group

Cuntz algebra automorphisms: transpositions

On two conjectures about pattern avoidance of cyclic permutations

A note on the Cuntz algebra automorphisms

Automorphism group of the graph A(n,k,r)

Automorphism group of the graph $A (n, k, r)$