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Annali di Matematica Pura ed Applicata

, Volume 96, Issue 1, pp 255–264 | Cite as

Concomitants and syzygies of spinors in 3-dimensional euclidean space

  • B. Dodds
Article
  • 20 Downloads

Summary

In 3-dimensional Euclidean space, explicit formulae for the Hermitean concomitants of two irreducible spinsors of type[n+1/2] are obtained, where n is a positive integer. Further, a method, by means of which the syzygies of degree2 in these concomitants can be obtained, is described and is illustrated by considering two irreducible spinors of type[3/2].

Keywords

Positive Integer Euclidean Space Explicit Formula Irreducible Spinor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [1]
    B. Dodds,Symmetric spinors in k-dimensions, Ann. di Mat.92 (1972), p. 337.zbMATHMathSciNetGoogle Scholar
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    D. E. Littlewood,Invariant-theory, tensors and group characters, Phil. Trans. Roy. Soc. (A),239 (1944), pp. 305.zbMATHMathSciNetGoogle Scholar
  3. [3]
    D. E. Littlewood,The Theory of Group Characters and Matrix Representations of Groups (Oxford, 2nd ed., 1950).Google Scholar
  4. [4]
    D. E. Littlewood,Relativity and quantum theory. A unified model, Ann. di Mat.,81 (1969), pp. 111.zbMATHMathSciNetGoogle Scholar

Copyright information

© Nicola Zanichelli Editore 1973

Authors and Affiliations

  • B. Dodds
    • 1
  1. 1.Edinburgh

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