Cocycle twists of algebras
نویسندگان
چکیده
منابع مشابه
Biproducts and Two-cocycle Twists of Hopf Algebras
Let H be a Hopf algebra with bijective antipode over a field k and suppose that R#H is a bi-product. Then R is a bialgebra in the Yetter–Drinfel’d category HYD. We describe the bialgebras (R#H) and (R#H) explicitly as bi-products R#Hop and R#H respectively where R is a bialgebra in H op HopYD and R o is a bialgebra in H o HoYD. We use our results to describe two-cocycle twist bialgebra structur...
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We give an explicit formula for the correspondence between simple Yetter-Drinfeld modules for certain finite-dimensional pointed Hopf algebras H and those for cocycle twists H of H. This implies an equivalence between modules for their Drinfeld doubles. To illustrate our results, we consider the restricted two-parameter quantum groups ur,s(sln) under conditions on the parameters guaranteeing th...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2016
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2016.1178271