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Book Review
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Book Information
Author(s):
Eiichi Abe
Title:
Hopf algebras
Additional book information:
Cambridge Univ. Press, 1980, translated by Hisae Kinoshita and Hiroko Tanaka, xii + 284 pp., $39.50
References:
- 1.
- Eiichi Abe, Hopf algebras, Cambridge Univ. Press, Cambridge, 1980. MR 594432
- 2.
- H. P. Allen and M. E. Sweedler, A theory of linear descent based upon Hopf algebraic techniques, J. Algebra 12 (1969), 242-294. MR 242906
- 3.
- Armand Borel, Linear algebraic groups, Benjamin, New York, 1969. MR 251042
- 4.
- M. Demanzure and P. Gabriel, Groups algébriques, North-Holland, Amsterdam, 1970.
- 5.
- Gerhard Hochschild, Algebraic Lie algebras and representative functions, Illinois J. Math. 3 (1959), 499-523. MR 125910
- 6.
- Gerhard Hochschild, Algebraic Lie algebras and representative functions. Supplement, Illinois J. Math. 4 (1960), 609-618. MR 125911
- 7.
- Gerhard Hochschild, Introduction to affine algebraic groups, Holden-Day, San Francisco, 1971. MR 277535
- 8.
- G. Hochschild and G. D. Mostow, Representations and representative functions of Lie groups, Ann. of Math. (2) 66 (1957), 495-547. MR 98796
- 9.
- David E. Radford, The order of the antipode of a finite dimensional Hopf algebra is finite. Amer. J. Math. 98 (1973), 333-355. MR 407069
- 10.
- John B. Sullivan, The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebras, J. Algebra 19 (1971), 426-440. MR 288167
- 11.
- Moss Sweedler, Cohomology of algebras over Hopf algebras, Trans. Amer. Math. Soc. 133 (1968), 205-239. MR 224684
- 12.
- Moss Sweedler, Structure of inseparable extensions, Ann. of Math. (2) 87 (1968), 401-410. Correction: Ann. of Math. (2) 89 (1969), 206-207. MR 223343
- 13.
- Moss Sweedler, Groups of simple algebras, Publ. Math. I. H. E. S. 44 (1975), 79-189. MR 364332
- 14.
- Moss Sweedler, Hopf algebras, Benjamin, New York, 1969. MR 252485
- 15.
- Mitsuhiro Takeuchi, Relative Hopf modules--equivalences and freeness criteria, J. Algebra 60 (1979), 452-471. MR 549940
- 16.
- William C. Waterhouse, Antipodes and group-likes in finite Hopf algebras, J. Algebra 37 (1975), 290-295. MR 379568
- 17.
- William C. Waterhouse, Introduction to affine group schemes, Springer-Verlag, New York, 1979. MR 547117
- 18.
- David J. Winter, The structure of fields, Springer-Verlag, New York, 1974. MR 389873
Additional Information:
Reviewer(s):
Moss E.
Sweedler
Review Information:
Journal:
Bull. Amer. Math. Soc.
5
(1981),
349-354.
DOI:
10.1090/S0273-0979-1981-14954-5
PII:
S 0273-0979(1981)14954-5
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