From representations of quivers via Hall and Loewy algebras to quantum groups
From representations of quivers via Hall and Loewy algebras to quantum groups
Let ∆ be a symmetric generalized Cartan matrix, and g = g(∆) the corresponding Kac–Moody Lie–algebra with triangular decomposition g = n−⊕h⊕n+ (see [K]. We denote by b+ = b+(∆) = h ⊕ n+ the Borel subalgebra. Let Uq(b+) be the quantization of the universal enveloping algebra of b+, it …