| Project/Area Number |
19740003
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
|
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| Research Institution | Chiba Institute of Technology (2008-2009)
University of Tsukuba (2007) |
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Principal Investigator |
SUGIYAMA Kazunari Chiba Institute of Technology, 情報科学部, 助教 (90375395)
|
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| Project Period (FY) |
2007 – 2009
|
| Project Status |
Completed (Fiscal Year 2009)
|
| Budget Amount *help |
¥2,360,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥800,000 (Direct Cost: ¥800,000)
|
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| Keywords | 概均質ベクトル空間 / クイバー / b-関数 / リー環 / ゼータ関数 / タイバー |
|---|
| Research Abstract |
We have studied the b-functions of relative invariants of the prehomogeneous vector spaces associated with quivers of type A. By applying the decomposition formula for b-functions, we determine explicitly the b-functions of one-variable for each irreducible relative invariant. Moreover, we give a graphical algorithm to determine the b-functions of several variables. As its application, we have obtained some results on functional equations of prehomogeneous vector spaces of parabolic type arising from special linear Lie algebras.
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