3 problems

For a positive integer $m$, let $\widetilde X_{12}^{(a)},\widetilde X_{13}^{(a)},\widetilde X_{23}^{(a)}$ for $1\leq a\leq m$ be the formal variables associated with the multiple g…

Wang's conjecture. One has

Let $k,n\geq 1$ be integers. The generalized Cauchy identities assert that … The precise class of oriented trees and orders is recalled later in the paper. Dykema–Haagerup generali…