Abstract
The aim of this paper is to study quasi-bicrossed products and a especially quantum quasi-doubles. Firstly, we construct one new kind of quasi-bicrossed products by weak Hopf algebras and then devote a brief discussion to this matter. And, we discuss the conditions for quasi-bicrossed products to possess the structure of almost weak Hopf algebras, containing the case of a special smash product. At the end, we give some properties on the quantum quasi-double, respectively on the quasi- R-isomorphism, the representation-theoretic interpretation and the regularity of the quasi-R-matrix.
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Project supported by the National Natural Science Foundation of China (No. 19971074) and also by the Natural Science Foundation of Zhejiang Province (No. 102028)
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Li, F. On Quasi-Bicrossed Products of Weak Hopf Algebras. Acta Math Sinica 20, 305–318 (2004). https://doi.org/10.1007/s10114-004-0325-3
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DOI: https://doi.org/10.1007/s10114-004-0325-3