Junyao Pan

collaborators

4 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.GR2025

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