6533b835fe1ef96bd129f616

RESEARCH PRODUCT

Lattices of Jordan algebras

Ricardo CovasRoman ZmyślonyRoman ZmyślonyJoão T. Mexia

subject

Kronecker productNumerical AnalysisPure mathematicsProjectorsAlgebra and Number TheoryJordan algebraNon-associative algebraBinary operationsLatticeAlgebrasymbols.namesakeBinary operationCommutative Jordan algebraLattice (order)Kronecker matrix productsymbolsDiscrete Mathematics and CombinatoricsGeometry and TopologyNest algebraCommutative algebraCommutative propertyMathematics

description

AbstractCommutative Jordan algebras play a central part in orthogonal models. The generations of these algebras is studied and applied in deriving lattices of such algebras. These lattices constitute the natural framework for deriving new orthogonal models through factor aggregation and disaggregation.

https://doi.org/10.1016/j.laa.2009.12.010