| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
The vertex algebra associated to a non-degenerate even lattice, and its invariant subalgebra, plays an important role in constructing vertex algebras with good properties. If the lattice is positive definite, the modules for a vertex algebra are well studied, but if not, we need to deal with a broader class of representations called weak modules. The author classified the irreducible weak modules for an invariant subalgebra of the vertex algebra associated to a non-degenerate even lattice. The author also showed that every weak module for the same vertex algera is completely reducible.
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