On the dimension and other numerical invariants of algebras and vector products

Tensor categorical and diagrammatic techniques used in the theory of knot invariants can be applied to compute the dimension and other numerical invariants for certain algebraic structures defined by tensor identities. These techniques are described, and applied to symmetric composition algebras and 3-vector products.

L. Cadorin < cadorin@math.ethz.ch >

M.-A. Knus < knus@math.ethz.ch >

M. Rost < rost@mathematik.uni-bielefeld.de >