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Some remarks on the {$q$}-Poincare algebra in R-matrix form
| Content Provider | Semantic Scholar |
|---|---|
| Author | Majid, Shahn |
| Copyright Year | 1995 |
| Abstract | The braided approach to q-deformation (due to the author and collaborators) gives natural algebras $R_{21}u_1Ru_2=u_2R_{21}u_1R$ and $R_{21}x_1x_2=x_2x_1R$ for q-Minkowski and q-Euclidean spaces respectively. These algebras are covariant under a corresponding background `rotation' quantum group. Semidirect product by this according to the bosonisation procedure (also due to the author) gives the corresponding Poincar\'e quantum groups. We review the construction and collect the resulting R-matrix formulae for both Euclidean and Minkowski cases in both enveloping algebra and function algebra form, and the duality between them. Axioms for the Poincar\'e quantum group $*$-structure and the dilaton problem are discussed. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/q-alg/9502014v3.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/q-alg/9502014v3.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
