| Budget Amount *help |
¥3,180,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥480,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,100,000 (Direct Cost: ¥1,100,000)
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| Research Abstract |
We investigate the structure of the set of half-turn symmetric alternating sign matrices. Also we give a determinantal formula for irreducible spinor representations of the Pin group, and introduce a family of symmetric functions (spinor universal characters) with coefficients in the ring of integers adjoining a new element e with the property e^2 = 1. And we investigate their properties, and describe a combinatorial method for the irreducible decompositions of tensor products and restrictionsinvolving spinor representations of the Pin group.
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