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.

DOI

10.55730/1300-0098.3222

Keywords

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

First Page

1619

Last Page

1643

Recommended Citation

BAHTURIN, Y, & SHIHADEH, A (2022). Tensor products of graded-simple $\mathfrak{sl}_2(\mathbb{C})$-modules. Turkish Journal of Mathematics 46 (5): 1619-1643. https://doi.org/10.55730/1300-0098.3222

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