| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
(1) I constructed a quotient module of a Demazure-type submodule in an extremal weight module whose graded character is identical to a specialization of a nonsymmetric Macdonald polynomial.
(2) I extended the (classical) standard monomial theory (due to Peter Littelmann) to the case of semi-infinite Lakshmibai-Seshadri paths, and gave the semi-infinite standard monomial theory. As applications, I gave Chevalley-type formulas for graded characters of Demazure-type submodules in extremal weight modules for dominant and antidominant integral weights.
(3) I constructed a level-zero van der Kallen module as a quotient of an extremal weight module, and proved that its graded character is identical to a specialization of a nonsymmetric Macdonald polynomial.
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