| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
In Representation theory of vertex operator algebras, the finiteness condition called C_2-cofiniteness is one of important condition. The condition make finitely generated modules finite length although the verification is very difficult except for special cases. For example, an orbifold of C_2-cofinite vertex operator algebra by an automorphism has been believed to be C_2-cofinite for long time (Recently, this fact was proved by Miyamoto). On this research, I proved that for an arbitrary 2-subgroup G of the symmetric group S_n, the G-permutation orbifold of a C_2-cofinite vertex operator algebra is also C_2-cofinite. I also found an explicit structure of certain commutant of a 4-cyclic permutation orbifold model of an affine vertex operator algebra of type A_1 and level 1.
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