We calculated defining relations of the graded nilpotent positive part of Lie algebras of vector fields. These calculations suggest that for 91;1, g?, and Jln (n sufficiently large) there are only… (More)

For the Lie algebras L\(H(2)) and L\(W(2)), we study their infinitesimal deformations and the corresponding global ones. We show that, as in the case of L\{W(\)), each integrable infinitesimal… (More)

We present solutions of the Quantum Yang-Baxter Equation that satisfy the condition R ab cd 6 = 0) (fa; bg = fc; dg) or (b = (a) and d = (c)); where denotes the involution on f1; : : : ; ng given by… (More)