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Spectral Decomposition and Baxterization of Exotic Bialgebras and Associated Noncommutative Geometries.
- Source :
-
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics . 9/20/2003, Vol. 18 Issue 23, p4201. 13p. - Publication Year :
- 2003
-
Abstract
- We study the geometric aspects of two exotic bialgebras S03 and S14 introduced in math.QA/0206053. These bialgebras are obtained by the Faddeev–Reshetikhin–Takhtajan RTT prescription with non-triangular R-matrices which are denoted R[sub 03] and R[sub 14] in the classification of Hietarinta, and they are not deformations of either GL(2) or GL(1|1). We give the spectral decomposition which involves two, respectively, three, projectors. These projectors are then used to provide the baxterization procedure with one, respectively, two, parameters. Further, the projectors are used to construct the noncommutative planes together with the corresponding differentials following the Wess–Zumino prescription. In all these constructions there appear nonstandard features which are noted. Such features show the importance of systematic study of all bialgebras of four generators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*MATRICES (Mathematics)
*DEFORMATIONS of singularities
Subjects
Details
- Language :
- English
- ISSN :
- 0217751X
- Volume :
- 18
- Issue :
- 23
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
- Publication Type :
- Academic Journal
- Accession number :
- 10991835
- Full Text :
- https://doi.org/10.1142/S0217751X03016100