Lectures on Sl_2(c)-Modules

By Volodymyr Mazorchuk. 2009

69 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/d4e30fbf22e65486edf400b21ffe9618cb96ec23

Citations in the corpus

• Simple sl_{n+1}-module structures on U(h) (2013, unknown): “his it suffices to consider only the simple finite dimensional module L(k). Remark 18. The Clebsch-Gordan formula for simple finite dimensional sl 2-modules is well known, see for example Theorem 1.39 in [Maz1]. It states states that for m,n ∈ N 0 with m ≥ n we have L(m)⊗L(n) = L(m+n)⊕L(m+n−2) ⊕··· ⊕L(m”