Rafael Stekolshchik

collaborators

2 papers

math.RT2024

Extraspecial pairs in the multiply-laced root systems and calculating structure constants

Rafael Stekolshchik

The notions of special and extraspecial pairs of roots were introduced by Carter for calculating structure constants, [Ca72]. Let ${r, s}$ be a special pair of roots for which th…

math.RT2024

Integer quadratic forms and extensions of subsets of linearly independent roots

Rafael Stekolshchik

We consider subsets of linearly independent roots in a certain root system $Φ$ . Let $S^{'}$ be such a subset, and let $S^{'}$ be associated with any Carter diagram $Γ^{'}$ . The main q…