Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
145/2006

Decompositions of the tensor products of irreducible ${\mathfrak{sl}(2)}$-modules in characteristic 3

Brian Clarke

Abstract

We completely describe the decompositions (into indecomposable submodules) of the tensor products of irreducible ${\mathfrak{sl}(2)}$-modules in characteristic 3. The answer resembles analogous decompositions for Lie superalgebras.

Received:
Dec 8, 2006
Published:
Dec 8, 2006
Keywords:
Lie algebras, representation theory, Finite characteristic

Related publications

Preprint
2006 Repository Open Access
Brian Clarke

Decompositions of the tensor products of irreducible sl(2)-modules in characteristic 3