Constructing sequences of divided powers. II
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- by Astrid J. Berkson and Kenneth Newman PDF
- Proc. Amer. Math. Soc. 72 (1978), 11-15 Request permission
Abstract:
Using principally the exponential and logarithmic Taylor series a number of simple formulas are derived for extending sequences of divided powers in cocommutative irreducible Hopf algebras over fields of characteristic 0. Both the commutative and noncommutative cases are considered.References
- Kenneth Newman, Constructing sequences of divided powers, Proc. Amer. Math. Soc. 31 (1972), 32–38. MR 289606, DOI 10.1090/S0002-9939-1972-0289606-3
- Kenneth Newman, Sequences of divided powers in irreducible, cocommutative Hopf algebras, Trans. Amer. Math. Soc. 163 (1972), 25–34. MR 292875, DOI 10.1090/S0002-9947-1972-0292875-1
- Kenneth Newman and Moss E. Sweedler, A realization of the additive Witt group, Proc. Amer. Math. Soc. 76 (1979), no. 1, 39–42. MR 534386, DOI 10.1090/S0002-9939-1979-0534386-3 B. Shay, Polynomial-dual coalgebra structure in Hopf algebras, Ph.D. Thesis, CUNY, New York, 1972.
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 11-15
- MSC: Primary 16A24
- DOI: https://doi.org/10.1090/S0002-9939-1978-0503521-4
- MathSciNet review: 503521