Construction of quantized enveloping algebras by cocycle deformation

Details Construction of quantized enveloping algebras by cocycle deformation Construction of quantized enveloping algebras by cocycle deformation

2008-04-16

arxiv.org/abs/0804.2517v4

Mathematics

Quantum Algebra

To appear in a theme issue of the Arabian Journal for Science and Engineering. The published version will renumber the section

Scientific paper

By using cocycle deformation, we construct a certain class of Hopf algebras, containing the quantized enveloping algebras and their analogues, from what we call pre-Nichols algebras. Our construction generalizes in some sense the known construction by (generalized) quantum doubles, but unlike in the known situation, it saves us from difficulties in checking complicated defining relations.

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