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CONSTRUCTION OF QUANTIZED ENVELOPING ALGEBRAS BY COCYCLE DEFORMATION.
- Source :
-
Arabian Journal for Science & Engineering, Section C: Theme Issues . Dec2008, Vol. 33 Issue 2C, p387-406. 20p. 5 Diagrams. - Publication Year :
- 2008
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOPF algebras
*ALGEBRAIC topology
*COCYCLES
*HOMOLOGICAL algebra
*HOMOLOGY theory
Subjects
Details
- Language :
- English
- Volume :
- 33
- Issue :
- 2C
- Database :
- Academic Search Index
- Journal :
- Arabian Journal for Science & Engineering, Section C: Theme Issues
- Publication Type :
- Academic Journal
- Accession number :
- 38607108