Title of article
CONSTRUCTION OF QUANTIZED ENVELOPING ALGEBRAS BY COCYCLE DEFORMATION
Author/Authors
Masuoka, Akira University of Tsukuba - Institute of Mathematics, Japan
From page
387
To page
406
Abstract
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.
Keywords
Hopf algebra , quantized enveloping algebra , cocycle deformation , quantum double
Journal title
The Arabian Journal for Science and Engineering
Journal title
The Arabian Journal for Science and Engineering
Record number
2578194
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