Affine Actions of U-g(sl(2)) on Polynomial Rings

作者：Bergen Jeffrey^*

来源：Canadian Mathematical Bulletin, 2015, 58(2): 233-240.

DOI：10.4153/CMB-2015-012-5

• skew derivation
• quantum group
• invariants

We classify the affine actions of U-q(sl(2)) on commutative polynomial rings in m >= 1 variables. We show that, up to scalar multiplication, there are two possible actions. In addition, for each action, the subring of invariants is a polynomial ring in either m or m - 1 variables, depending upon whether q is or is not a root of 1.

• 出版日期2015-6