Hiroshima Mathematical Journal

Some results on Hopf algebras attached to group schemes

Hiroshi Yanagihara
Source: Hiroshima Math. J. Volume 7, Number 2 (1977), 517-574.
First Page: Show Hide
Primary Subjects: 14L15
Secondary Subjects: 16A24, 17B40
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hmj/1206135752
Mathematical Reviews number (MathSciNet): MR0472847
Zentralblatt MATH identifier: 0379.16003

References

[1] A. Borel, "Linear Algebraic Groups", Benjamin Inc.,New York, 1969.
Zentralblatt MATH: 0186.33201
Mathematical Reviews (MathSciNet): MR251042
[2] C. Chevalley, "Theorie des groupes de Lie,tome II", Hermann, Paris,1951.
Zentralblatt MATH: 0186.33104
Mathematical Reviews (MathSciNet): MR51242
[3] J. Dieudonne, "Liegroups and Lie hyperalgebras over a field of characteristic /?>0 (VI)", Amer. J. Math. 79 (1957), 331-388.
Zentralblatt MATH: 0086.02604
Mathematical Reviews (MathSciNet): MR94413
[4] } "Introduction to the theory of formal groups", Marcel Dekker Inc., New York, 1973.
Zentralblatt MATH: 0287.14013
Mathematical Reviews (MathSciNet): MR332802
[5] A. Grothendieck and J. Dieudonne, "Elements de Geometric Algebrique I", Springer- Verlag, Berlin-Heidelberg-New York, 1971.
Zentralblatt MATH: 0203.23301
[6] H. Matsumura, "Commutative Algebra", Benjamin Inc., New York, 1970.
Zentralblatt MATH: 0211.06501
Mathematical Reviews (MathSciNet): MR266911
[7] D. Mumford, "Introduction to algebraic geometry", Harvard lecture notes.
[8] J.-P.Serre, "Algebre Locale. Multiplicites", Lecture Notes in Math. 11, Springer- Verlag, Berlin-Heidelberg-New York, 1965.
Zentralblatt MATH: 0142.28603
Mathematical Reviews (MathSciNet): MR201468
[9] M. E. Sweedler, "Hopf algebras with one grouplike element", Trans. Amer. Math. Soc. 127 (1967), 515-526.
Zentralblatt MATH: 0168.26901
Mathematical Reviews (MathSciNet): MR210748
[10] M. E. Sweedler, "Hopf Algebras", Benjamin Inc.,New York, 1969.
Zentralblatt MATH: 0194.32901
Mathematical Reviews (MathSciNet): MR252485
[11] M. Takeuchi, "Tangent coalgebras and hyperalgebras I", Japan. J. Math. 42 (1974), 1-143.
Zentralblatt MATH: 0309.14042
Mathematical Reviews (MathSciNet): MR389896
[12] D. J. Winter, "The Structure of Fields", Graduate Texts in Math. 16, Springer- Verlag, Berlin-Heidelberg-New York, 1970.
Zentralblatt MATH: 0292.12101
Mathematical Reviews (MathSciNet): MR389873
[13] H, Yanagihara, "Some Properties of Hopf Algebra Attached to Group Varieties", Hiroshima Math. J. 1 (1971), 227-251.
Zentralblatt MATH: 0296.14022
Mathematical Reviews (MathSciNet): MR314889
[14] H, Yanagihara, "On algebraic Hopf subalgebras", Number Theory, Algebraic Geometry and Commutative Algebra, in honor of Y. Akizuki,Kinokuniya,Tokyo, 1973,221-229.
Zentralblatt MATH: 0273.14019
Mathematical Reviews (MathSciNet): MR364270
[15] H, Yanagihara;, "Remarks of Algebraic Hopf Subalgebras", Hiroshima Math. J. 3 (1973),387-390,
Zentralblatt MATH: 0296.14023
Mathematical Reviews (MathSciNet): MR330176

2012 © Hiroshima University, Department of Mathematics

Hiroshima Mathematical Journal

Hiroshima Mathematical Journal