Manas K. Patra
Abstract
The tensor product of two modules, q a root of 1, is decomposed into indecomposable summands for both irreducible and indecomposable modules. Clebsch-Gordan coefficients in the general case are computed. An apparently new identity is derived and some possible applications are conjectured.
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The tensor product of two modules, q a root of 1, is decomposed into indecomposable summands for both irreducible and indecomposable modules. Clebsch-Gordan coefficients in the general case are computed. An apparently new identity is derived and some possible applications are conjectured.
Key concepts: Indecomposable module, Tensor product, Tensor product of algebras, Tensor product of modules, Mathematics, Pure mathematics, Product (mathematics), Decomposition