A random walk on the indecomposable summands of tensor products of modular representations of ${\mathrm{SL}}_2({\mathbb{F}}_p)$

Eoghan McDowell

In this paper we introduce a novel family of Markov chains on the simple representations of ${\mathrm{SL}}_2({\mathbb{F}}_p)$ in defining characteristic, defined by tensoring with a fi…