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


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].


Positive Integer Euclidean Space Explicit Formula Irreducible Spinor 
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  1. [1]
    B. Dodds,Symmetric spinors in k-dimensions, Ann. di Mat.92 (1972), p. 337.zbMATHMathSciNetGoogle Scholar
  2. [2]
    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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