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Convariant q-Differential Calculus and its Deformations at qN = 1
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kerner, Richard Niemeyer, Bernd |
| Copyright Year | 1998 |
| Abstract | We construct the generalized version of covariant Z3-graded differential calculus introduced by one of us (R.K.) and then extend it to the case of arbitrary ZN grading. Here our main purpose is to establish the recurrence formulae for the Nth power of covariant q-differential Dq=dq + A and to analyze more closely the particular case of q being an Nth primitive root of unity. The generalized notions of connection and curvature are introduced and several examples of realization are displayed for N=3 and 4. Finally we briefly discuss the idea of infinitesimal deformations of the parameter q in the complex plane. |
| Starting Page | 161 |
| Ending Page | 176 |
| Page Count | 16 |
| File Format | PDF HTM / HTML |
| DOI | 10.1023/A:1007464303255 |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0004165v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1023/A%3A1007464303255 |
| Volume Number | 45 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
