Quantum differentials on cross product Hopf algebras

2019/04/04 by Aziz, Ryan, Majid, Shahn
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1904.02662

Abstract

We construct canonical strongly bicovariant differential graded algebra structures on all four flavours of cross product Hopf algebras, namely double cross products A\hookrightarrow A\bowtie H\hookleftarrow H, double cross coproducts A\twoheadleftarrow A \blacktriangleright \blacktriangleleft H\twoheadrightarrow H, biproducts A\buildrel\hookrightarrow\over \twoheadleftarrowA⋅\kern-.33em\triangleright

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