摘要
For any finitely generated unital commutative associative algebra R over C and any complex finite-dimensional simple Lie algebra g with a fixed Cartan subalgebra h,we classify all g⊗R-modules on U(h)such that h as a subalgebra of g⊗R,acts on U(h)by the multiplication.We construct these modules explicitly and study their module structures.
基金
supported by the NSF of China(11931009,12161141001,12171132 and 11771410)
Innovation Program for Quantum Science and Technology(2021ZD0302902).
