| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
We studied on the graded Cartan matrices for the Khovanov-Lauda-Rouquier algebras associated to the Iwahori-Hecke algebras of type A. As a result, we obtained several explixit and combinatorial descriptions for their determinants, and conjectual expressions for their elementary divisors.
We also studied on representations for the Cherednik algebra of type GL_n. We focused on irreducible representations which are described in terms of cylindric standard tableaux. By applying cylindric combinatorics, we investigated their structure and their relation to the representatinos of the affine Lie algebra via conformal field theory.
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