Canonical basis for type \(B_2\)
Let \(g\) be a symmetrizable Kac-Moody Lie algebra and \(U = U_q(g)\) be the associated quantized enveloping algebra. Let \(U^+\) denote the positive part of \(U\). Lusztig (also independently Kashiwara) introduced an important base called the canonical base for \(U^+\). The explicit description of the canonical base is a rather difficult problem. In this paper the author gives an explicit description of the canonical basis for \(g = B_2\).
scientific article; zbMATH DE number 1275251