| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
Yamane with his coworkers made deeper studies of defining relations of multi-parameter quantum superalgebras and corresponding Nichols algebras. Yamane with his coworkers classified the finite dimensional irreducible highest weight modules of generalized quantum groups by using special reduced expressions of longest elements of Weyl groupoids. Yamane with his coworkers gave an explicit formulas of the universal R-matrices by using the quantum double construction. Yamane with his coworkers introduced a notion of the reflectable base, as a generalization of base, and classified them except for E-types.
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