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Computing “Small” 1-Homological Models for Commutative Differential Graded Algebras

In: Computer Algebra in Scientific Computing

Author

Listed:
  • V. Álvarez

    (Universidad de Sevilla, Depto. de Matemática Aplicada I)

  • J. A. Armario

    (Universidad de Sevilla, Depto. de Matemática Aplicada I)

  • M. D. Frau

    (Universidad de Sevilla, Depto. de Matemática Aplicada I)

  • R. González-Díaz

    (Universidad de Sevilla, Depto. de Matemática Aplicada I)

  • M. J. Jiménez

    (Universidad de Sevilla, Depto. de Matemática Aplicada I)

  • P. Real

    (Universidad de Sevilla, Depto. de Matemática Aplicada I)

  • B. Silva

    (Universidad de Sevilla, Depto. de Matemática Aplicada I)

Abstract

We use homological perturbation machinery specific for the algebra category [13] to give an algorithm for computing the differential structure of a small I-homological model for commutative differential graded algebras (briefly, CDGAs). The complexity of the procedure is studied and a computer package in Mathematica is described for determining such models.

Suggested Citation

  • V. Álvarez & J. A. Armario & M. D. Frau & R. González-Díaz & M. J. Jiménez & P. Real & B. Silva, 2000. "Computing “Small” 1-Homological Models for Commutative Differential Graded Algebras," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing, pages 87-100, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-57201-2_9
    DOI: 10.1007/978-3-642-57201-2_9
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