IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this article

Progreso técnico: una aproximación desde la Teoría de Grupos de Transformaciones de Lie = Technical Progress: an Approach from Lie Transformation Group Theory

Listed author(s):
  • Fedriani Martel, Eugenio M.


    (Department of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide)

  • Tenorio Villalón, Ángel F.


    (Department of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide)

Registered author(s):

    En la presente comunicación explicamos algunas de las herramientas de la Geometría Diferencial y, en concreto, de la Teoría de Lie con las que se trabaja actualmente en Economía. Se indican las condiciones que se exigen a las funciones de producción y la definición de un tipo de progreso técnico denominado de tipo Lie, consistente en exigir las tres propiedades que han de verificar los grupos de Lie. También se expone el uso del operador de Lie en interpretaciones económicas y en la cuantificación del impacto del progreso técnico. Dicho operador permite dar una respuesta a la Controversia Solow-Stigler. Por último, se indican varias aplicaciones de la Teoría de Lie en los estudios económicos, que permiten abrir futuras líneas de investigación, de las que se apuntan algunas. De este modo, nuestro objetivo principal es mostrar el uso, actual y futuro, de la Teoría de Lie en el campo de la Economía. = In this paper we explain some tools of Differential Geometry. In detail we deal with Lie Theory, which is currently being investigated in Economics. Firstly we indicate the conditions demanded to production functions in such studies, and the definition of a particular type of technical progress: the Lie type. For this type, the three properties of Lie groups have to be verified by the technical progress. We also show the use of Lie operator for economical interpretations, and for quantifying the impact of the technical progress. This operator allows us to answer Solow-Stigler Controversy. Finally we introduce some applications of Lie Theory in Economics, and suggest new future research lines they can generate. In this way, our main aim is to show the actual and future applications of Lie Theory in Economics

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL:
    Download Restriction: no

    File URL:
    Download Restriction: no

    Article provided by Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration in its journal Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration.

    Volume (Year): 1 (2006)
    Issue (Month): 1 (June)
    Pages: 5-24

    in new window

    Handle: RePEc:pab:rmcpee:v:1:y:2006:i:1:p:5-24
    Contact details of provider: Postal:
    Carretera de Utrera km.1, 41013 Sevilla

    Phone: + 34 954 34 8913
    Fax: + 34 954 34 9339
    Web page:

    More information through EDIRC

    No references listed on IDEAS
    You can help add them by filling out this form.

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:pab:rmcpee:v:1:y:2006:i:1:p:5-24. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Publicación Digital - UPO)

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.