Abstract
In this paper, elementary methods are applied to determine the trace decomposition of tensors of type (1,2), and (1,3) on a real, finite-dimensional vector space. Explicit decomposition formulas are given showing the dependence of the decomposition on the dimension of the underlying vector space. The unigueness of the decomposition is discussed.
This paper is in final form and no version of it will be submitted for publication elsewhere.
Research supported by grant No. 201/93/2245 from the Czech Grant Agency.
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References
D. Krupka: The trace decomposition problem, Preprint, Department of Mathematics, Silesian University Opava, Czech Republic, 1994.
H. Weyl: The Classical Groups (Princeton Univ. Press, Princeton, 1946).
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© 1996 Kluwer Academic Publishers
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Krupka, D. (1996). The trace decomposition of tensors of type (1,2) and (1,3). In: Tamássy, L., Szenthe, J. (eds) New Developments in Differential Geometry. Mathematics and Its Applications, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0149-0_19
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DOI: https://doi.org/10.1007/978-94-009-0149-0_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6553-5
Online ISBN: 978-94-009-0149-0
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