A lower central series for split Hopf algebras with involution
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- by Bruce W. Jordan PDF
- Trans. Amer. Math. Soc. 257 (1980), 427-454 Request permission
Abstract:
A lower central series is defined for split Hopf algebras with involution over a field k. Various structure theorems for coalgebras and Hopf algebras are established.References
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- P. Hall, Finiteness conditions for soluble groups, Proc. London Math. Soc. (3) 4 (1954), 419–436. MR 72873, DOI 10.1112/plms/s3-4.1.419
- Peter John Hilton and Urs Stammbach, A course in homological algebra, Graduate Texts in Mathematics, Vol. 4, Springer-Verlag, New York-Berlin, 1971. MR 0346025
- Jean-Michel Lemaire, Algèbres connexes et homologie des espaces de lacets, Lecture Notes in Mathematics, Vol. 422, Springer-Verlag, Berlin-New York, 1974 (French). MR 0370566
- John W. Milnor and John C. Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965), 211–264. MR 174052, DOI 10.2307/1970615
- John C. Moore and Larry Smith, Hopf algebras and multiplicative fibrations. I, Amer. J. Math. 90 (1968), 752–780. MR 234455, DOI 10.2307/2373482
- Moss E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York, 1969. MR 0252485
- Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. MR 0090581
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 257 (1980), 427-454
- MSC: Primary 16A24; Secondary 57T05
- DOI: https://doi.org/10.1090/S0002-9947-1980-0552268-0
- MathSciNet review: 552268