| ◆ 主な成果
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概均質ベクトル空間に付随するゼータ関数の主要部の計算、2単純概均質ベクトルの相対不変式の明示的構成および大きな概均質ベクトル空間
から小さな概均質ベクトル空間へのequivarinant mapの構成。
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◆ 所属学会 |
日本数学会
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| ◆ 論文
| 【主要論文】
T.Kimura and T.Kogiso, On adelic zeta functions of prehomogeneous vector spaces with a finitely many adelic open orbits, Advanced Studies in Pure Mathematics vol.21, 21--31 (1992).
T.Kogiso, Simple calculation of the residues of the adelic zeta function associated with the space of binary cubic forms, J. of Number Theory, vol. 51, 233--248 (1995).
T.Kimura, T.Kogiso and M.Fuijinaga, Fundamental theorem of prehomogeneous vector spaces of characteristic p, Bulletin of the Australian Mathematical Society, vol.56, 331--341 (1997).
T.Kogiso, G.Miyabe, M.Kobayashi and T.Kimura, Nonregular 2-simple prehomogeneous vector spacesof Type I and their relative invariants, J. of Algebra, vol.251, 27--69 (2002).
T.Kogiso and K.Tsushima, On an algebra of Siegel modular forms associated with the theta group $\Gamma_2 (1,2)$, Tsukuba J. of Mathematics, vol.22, no.3, 645--656 (1998).
【最近の論文】
K.Amano, M.Fujigami and T.Kogiso, Construction of Irreducible Relative Invariant of the Prehomogeneous Vector Space $(SL_{5}\times GL_{4},\Lambda^{2}(\Bbb{C}^{5})\otimes \Bbb{C}^{4})$, Linear Algebra and its Application, vol.355, 215--222 (2002).
T.Kogiso, G.Miyabe, M.Kobayashi and T.Kimura, Relative invariants for some prehomogeneous vector spaces, Mathematics of Computaion, vol.72, no.242, 865--889 (2003).
T.Kimura, T.Kogiso, K.Sugiyama, Relative invariants of 2-simple prehomogeneous vector spaces of Type I, J. of Algebra, vol.308, no.2, 445--483 (2007).
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| ◆ 職歴
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筑波大学数学系準研究員・助手、 城西大学理学部講師・助教授
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