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Extensors

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Abstract

In this paper we introduce a class of mathematical objects calledextensors and develop some aspects of their theory with considerable detail. We give special names to several particular but important cases of extensors. Theextension, adjoint andgeneralization operators are introduced and their properties studied. For the so-called (1; 1)-extensors we define the concept ofdeterminant, and their properties are investigated. Some preliminary applications of the theory of extensors are presented in order to show the power of the new concept in action. A useful formula for the inversion of (1; 1)-extensors is obtained.

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Bibliography

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  4. Fernández, V. V., Moya, A. M., and Rodrigues, W. A. Jr., Euclidean Clifford Algebra (paper I of a series of seven), this issue ofAACA 11 (S3) (2001)

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Authors and Affiliations

  1. Institute of Mathematics, Statistics and Scientific Computation, IMECC-UNICAMP, CP 6065, 13083-970, Campinas, SP, Brazil

    Virginia V. Fernández & Antonio M. Moya

  2. Department of Mathematical Sciences, University of Liverpool, L69 3BX, Liverpool, UK

    Waldyr A. Rodrigues

Authors
  1. Virginia V. Fernández
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  2. Antonio M. Moya
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  3. Waldyr A. Rodrigues
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Fernández, V.V., Moya, A.M. & Rodrigues, W.A. Extensors. AACA 11 (Suppl 3), 23–40 (2001). https://doi.org/10.1007/BF03219145

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  • DOI: https://doi.org/10.1007/BF03219145

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