Right Coideal Subalgebras of the Quantum Borel Algebra of type G2

Abstract

In this paper we describe the right coideal subalgebras containing all group-like elements of the multiparameter quantum group U + q (g), where g is a simple Lie algebra of type G2, while the main parameter of quantization q is not a root of 1. If the multiplicative order t of q is finite, t > 4, t = 6, then the same classification remains valid for homogeneous right coideal subalgebras of the positive part u + q (g) of the multiparameter version of the small Lusztig quantum group.