Triangular braidings and pointed Hopf algebras
Copyright policy )Triangular braidings and pointed Hopf algebras
We consider an interesting class of braidings defined by a combinatorial property in an earlier paper. We show that it consists exactly of those braidings that come from certain Yetter-Drinfeld module structures over pointed Hopf algebras with abelian coradical. As a tool we define a reduced version of the FRT construction. For braidings induced by U_q(g)-modules the reduced FRT construction is calculated explicitly.
20 pages
right triangular braidings, pointed Hopf algebras, Algebra and Number Theory, Hopf algebras (aspects of homology and homotopy of topological groups), Smash products of general Hopf actions, Quantum groups (quantized enveloping algebras) and related deformations, Yetter-Drinfeld modules, completely reducible modules, Hopf algebras (associative rings and algebras), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), reduced FRT-constructions
right triangular braidings, pointed Hopf algebras, Algebra and Number Theory, Hopf algebras (aspects of homology and homotopy of topological groups), Smash products of general Hopf actions, Quantum groups (quantized enveloping algebras) and related deformations, Yetter-Drinfeld modules, completely reducible modules, Hopf algebras (associative rings and algebras), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), reduced FRT-constructions
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