| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
I studied, from the viewpoints of both theory and applications, the representation theory of several non-commutative semisimple algebras, such as the Terwilliger algebra attached to each vertex of an association scheme, which is a certain special decomposition of a complete graph. I obtained various results related to extremal set theory, design theory, coding theory, etc., where the representation theory is applied together with the duality of semidefinite programming as well as systems of orthogonal polynomials associated with irreducible modules of these algebras. I have been involved with the recent development of the new tools, and this project contributed to further deepening and strengthening of them.
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