Tensor products of graded-simple $\mathfrak{sl}_2(\mathbb{C})$-modules

Authors: YURI BAHTURIN, ABDALLAH SHIHADEH

Abstract: In our paper [3] we have constructed the first example of simple graded torsion-free $\mathfrak{sl}_2(\mathbb{C})$-module denoted by $M^{C}_{λ}$. Here we examine tensor product of $M^{C}_{λ}$ with finite dimensional simple $\mathfrak{sl}_2(\mathbb{C})$-modules.

Keywords: Graded Lie algebras, enveloping algebras, simple modules, graded modules

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