2 papers
math.RT2024
Bijection between positive clusters and projectively signed exceptional sequences
Shujian Chen, Kiyoshi Igusa
In 2017, Igusa and Todorov gave a bijection between signed exceptional sequences and ordered partial clusters. In this paper, we show that every term in an exceptional sequence is…
math.CO2024
Generalized Goulden-Yong duals and signed minimal factorizations
Shujian Chen, Kiyoshi Igusa
We show the equivalence between one-way reflections and relative projective representations. We construct generalized Goulden-Yong duals using reverse Garside element actions and f…