Right coideal subalgebras of the quantum Borel algebra of type G(2)

作者：Pogorelsky Barbara^*

来源：Journal of Algebra, 2009, 322(7): 2335-2354.

DOI：10.1016/j.jalgebra.2009.06.019

• Quantum groups
• Hopf algebras
• Coideal subalgebras
• PBW-generators

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 G(2), 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 not equal 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.

• 出版日期2009-10-1