| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
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: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
When we try to understand the nature of an infinite dimensional algebra, one possible way is to find a natural basis which reflectsdeep properties of the algebra. Such a research sometimes brings an unexpected connection with another model in mathematical physics. In the case of the crystal bases of the quantum affine algebra the corresponding model is a typical example of the ultra-discrete soliton models called the box-ball system. The set of the action and angle variables of the box-ball systems, called the rigged configurations, serves as a natural basis which has a nice property even if we consider such deep property like the symmetry of the algebra of the symmetry.
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