Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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Outline of Final Research Achievements |
Hecke algebras are finite dimensional algebras which occupy an important position in Lie theory. Nowadays they are generalized to wider class of cyclotomic quiver Hecke algebras. In this research, we have studied the cyclotomic quiver Hecke algebras for affine type C aiming at contruction of Specht modules, in view of the fact that Specht modules play an important role in the representation theory of the cyclotomic Hecke algebras of affine type A. The research is successful and the results are in the preprint arXiv:1703.06425. Furthermore, assuming that the base field is algebraically closed of odd characteristic, we have not only determined the representation type of block algebras of Hecke algebras of classical type but also have dtermined the algebra structure of those of finite representation type. The reults are published as a refereed paper in a journal.
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