3 papers
math.RT2025
Brauer pairs for splendid Rickard equivalences
Jadyn V. Breland, Sam K. Miller
We define the notion of a Brauer pair of a chain complex, extending the notion of a Brauer pair of a -permutation module introduced by Boltje and Perepelitsky. In fact, the Brau…
math.CO2024
Braid graphs in simply-laced triangle-free Coxeter systems are partial cubes
Fadi Awik, Jadyn Breland, Quentin Cadman +1
In this paper, we study the structure of braid graphs in simply-laced Coxeter systems. We prove that every reduced expression has a unique factorization as a product of so-called l…
math.CO2024
Braid graphs in simply-laced triangle-free Coxeter systems are median
Jillian Barnes, Jadyn V. Breland, Dana C. Ernst +1
Any two reduced expressions for the same Coxeter group element are related by a sequence of commutation and braid moves. Two reduced expressions are said to be braid equivalent if…