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Noncocommutative sequences of divided powers

Part of the Lecture Notes in Mathematics book series (LNM,volume 933)

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References

  1. Andrews, G.E.: On the foundations of combinatorial theory V, Eulerian differential operators, Studies in Applied Mathematics 50 (1971), 345–375.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Berthelot, P.: Cohomologie Cristalline des Schémas de Caractéristique p>0, Lecture Notes in Math. 407, Springer-Verlag, Berlin-Heidelberg-New York, 1974.

    MATH  Google Scholar 

  3. Cohn, P. M.: On a class of binomial extensions, Illinois J. Math. 10 (1966), 418–424.

    MathSciNet  MATH  Google Scholar 

  4. Garsia, A. M., Joni, S. A.: Composition sequences, Communications in Algebra 8 (1980), 1195–1266.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Ihrig, E. C., Ismail, M. E. H.: A q-umbral calculus, Technical Report No. 49 (1980), Dept. of Math., Arizona State University.

    Google Scholar 

  6. Kirschenhofer, P.: Binomialfolgen, Shefferfolgen und Faktorfolgen in der q-Analysis, Wien, 1979.

    Google Scholar 

  7. Radford, D.E.: Operators on Hopf algebras, Amer. J. math. 99 (1977), 139–158.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Roman, S. M., Rota, G.-C.: The umbral calculus, Advances in Math. 27 (1978), 95–188.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Swedler, M.E.: Hopf Algebras, Benjamin, New York, 1969.

    Google Scholar 

  10. Taft, E.J.: The order of the antipode of a finite-dimensional Hopf algebra, Proc. Nat. Acad. Sci. USA 68 (1971), 2631–2633.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Taft, E. J., Wilson, R. L.: There exist finite-dimensional Hopf algebras with antipodes of arbitrary even order, J. Algebra 62 (1980), 283–291.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1982 Springer-Verlag

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Taft, E.J. (1982). Noncocommutative sequences of divided powers. In: Winter, D. (eds) Lie Algebras and Related Topics. Lecture Notes in Mathematics, vol 933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093363

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  • DOI: https://doi.org/10.1007/BFb0093363

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  • Print ISBN: 978-3-540-11563-2

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