Semantic Scholar Open Access 2002 24 sitasi

Spectral Decomposition and Baxterization of Exotic Bialgebras and Associated Noncommutative Geometries

D. Arnaudon A. Chakrabarti V. Dobrev S. Mihov

Lihat Sumber DOI

Abstrak

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 R03 and R14 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.

Topik & Kata Kunci

Mathematics Physics

Penulis (4)

D. Arnaudon

A. Chakrabarti

V. Dobrev

S. Mihov

Format Sitasi

APA MLA BibTeX

Arnaudon, D., Chakrabarti, A., Dobrev, V., Mihov, S. (2002). Spectral Decomposition and Baxterization of Exotic Bialgebras and Associated Noncommutative Geometries. https://doi.org/10.1142/S0217751X03016100

Akses Cepat

Lihat di Sumber doi.org/10.1142/S0217751X03016100

Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Total Sitasi: 24×
Sumber Database: Semantic Scholar
DOI: 10.1142/S0217751X03016100
Akses: Open Access ✓