< Japanese/English >

Amano, Katsutoshi

Lectures

• Old lectures (in Japanese)

Research

Publications

• Hopf algebraic approach to Picard-Vessiot theory (with A. Masuoka and M. Takeuchi), In: M. Hazewinkel (ed.), "Handbook of Algebra", Vol. 6, Elsevier, 2009, pp. 127--171.
• Liouville extensions of artinian simple module algebras, Comm. Algebra 34 (2006), 1811--1823.
• Picard-Vessiot extensions of artinian simple module algebras (with A. Masuoka), J. Algebra 285 (2005), 743--767.
• Construction of irreducible relative invariant of the prehomogeneous vector space $(SL_{5}\times GL_{4}, \Lambda^{2}(\mathbb{C}^{5})\otimes\mathbb{C}^{4})$ (with M. Fujigami and T. Kogiso), Linear Algebra Appl. 355 (2002), 215--222.

Research note

• On a discrepancy among Picard-Vessiot theories in positive characteristics <dvi> <pdf> <arXiv:math.AC/0612683>

Thesis

• Relative invariants, difference equations, and the Picard-Vessiot theory <dvi> <pdf> <arXiv:math.AC/0503291>