Universal R-matrices for finite Abelian groups -- a new look at graded multilinear algebra

Details Universal R-matrices for finite Abelian groups -- a new look at graded multilinear algebra Universal R-matrices for finite Abelian groups -- a new look at graded multilinear algebra

1995-08-24

arxiv.org/abs/q-alg/9508016v1

Mathematics

Quantum Algebra

27 pages, LaTeX

Scientific paper

The universal R-matrices and, dually, the coquasitriangular structures of the group Hopf algebra of a finite Abelian group (resp. of an arbitrary Abelian group) are determined. This is used to formulate graded multilinear algebra in terms of triangular or cotriangular Hopf algebras. For the convenience of the reader, in a separate section the definitions and basic properties of quasitriangular and coquasitriangular Hopf algebras are recalled.

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