Differential-Graded Hopf Algebras and Quantum Group Differential Calculi
نویسندگان
چکیده
منابع مشابه
A class of bicovariant differential calculi on Hopf algebras
We introduce a large class of bicovariant differential calculi on any quantum group A, associated to Ad-invariant elements. For example, the deformed trace element on SLq(2) recovers Woronowicz’ 4D± calculus. More generally, we obtain a sequence of differential calculi on each quantum group A(R), based on the theory of the corresponding braided groups B(R). Here R is any regular solution of the...
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In the approach to the differential calculus on quantum groups proposed in [1], besides the obvious notion of differential d, the theory is founded on the notion of bicovariant bimodule; the algebraic nature of this construction extends the properties of differential forms to the noncommutative situation. Following this idea a general treatment and a classification of differential calculi have ...
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Let H be a differential graded Hopf algebra over a field k. This paper gives an explicit construction of a triple cochain complex that defines the Hochschild-Cartier cohomology of H. A certain truncation of this complex is the appropriate setting for deforming H as an H(q)-structure. The direct limit of all such truncations is the appropriate setting for deforming H as a strongly homotopy assoc...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1996
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0064