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Circular vectors and toroidal matrices. (English) Zbl 0847.15012

Bureš, J. (ed.) et al., Proceedings of the Winter School on geometry and physics, Srní, Czech Republic, January 1994. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 39, 143-148 (1996).
Summary: Arrays of numbers may be written not only on a line (= “a vector”) or in the plain (= “a matrix”) but also on a circle (= “a circular vector”), on a torus (= “a toroidal matrix”) etc. In the latter case, the immanent index-rotation ambiguity converts the standard “scalar” product into a binary operation with several interesting properties.
For the entire collection see [Zbl 0840.00036].

MSC:

15A63 Quadratic and bilinear forms, inner products