The decomposition of tensor spaces

Lenka Lakomá, Josef Mikeš, Lydie Mikušová


Abstract. The problem of $F$-decomposition of tensor spaces is considered. $F$-decomposition of tensor spaces of the type $(1,1)$, $(1,2)$, $(1,3)$ is computed. Also $F$-decomposition for $e$-structures, when special conditions hold, is studied in this paper and explicit formulas for decomposition are given.

AMSclassification. 53A45, 53B35

Keywords. Tensor spaces, decomposition, e-structure