Abstract
Let G be a subgroup of the symmetric group and \(\varphi \) a complex function on G. A longstanding question in Multilinear Algebra is to find conditions for the vanishing of the decomposable symmetrized tensor associated with G and \(\varphi \) (we recall the definition below). When \(\varphi \) is an irreducible complex character of G, the problem has been studied by several authors, see for example [1,2,3, 5]. In the present paper we study and solve the vanishing problem for the case when G is the full symmetric group and \(\varphi \) is a certain type of spherical function .
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Gamas, C. (2017). Symmetrized Tensors and Spherical Functions. In: Bebiano, N. (eds) Applied and Computational Matrix Analysis. MAT-TRIAD 2015. Springer Proceedings in Mathematics & Statistics, vol 192. Springer, Cham. https://doi.org/10.1007/978-3-319-49984-0_17
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DOI: https://doi.org/10.1007/978-3-319-49984-0_17
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