Abstract :
In the present paper, the structure of the tenser product of two isomorphic irreducible modules V′α,β over the Virasoro algebra is studied case by case. The following results are proved: For any α, β set membership, variant C, V′α,β circle times operator V′α,β = V+ circled plus V−, where V+ and V− are indecomposable submodules. And EndVirV+ congruent with C, EndVirV− congruent with C, EndVirV′α,β circle times operator V′α,β congruent with C circled plus C. Further some of the subquotients of V+ and V− are studied.
