Extensions of Hopf Algebras and Lie Bialgebras

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Extensions of locally compact quantum groups and the bicrossed product construction (2001, background): “In [4] they extended this notion requiring the above map to be a homeomorphism of G1 ×G2 only onto an open subset of G with complement of measure zero.”
Complex product structures on Lie algebras (2003, background): “Firstly, let us recall the following construction, which appears for example in [22, 23].”
Hopf Bimodules, Coquasibialgebras, and an Exact Sequence of Kac (2002, background): “It should be noted here that our generalized Kac sequence cannot be specialized to Masuoka’s sequences [20] for extensions involving universal enveloping algebras of Lie algebras, for the simple reason that universal enveloping algebras of nonzero Lie algebras are always infinite dimensional, while ”