Exponential Formulas and Lie Algebra Type Star Products
Given formal differential operators [...] on polynomial algebra in several variables [...], we discuss finding expressions [...] determined by the equation [...] and their applications. The expressions for [...] are related to the coproducts for deformed momenta for the noncommutative space-times of...
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| Veröffentlicht in: | Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2012-03, Vol.8, p.013 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Given formal differential operators [...] on polynomial algebra in several variables [...], we discuss finding expressions [...] determined by the equation [...] and their applications. The expressions for [...] are related to the coproducts for deformed momenta for the noncommutative space-times of Lie algebra type and also appear in the computations with a class of star products. We find combinatorial recursions and derive formal differential equations for finding [...]. We elaborate an example for a Lie algebra [...], related to a quantum gravity application from the literature. [ProQuest: [...] denotes formulae omitted.] |
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| ISSN: | 1815-0659 1815-0659 |
| DOI: | 10.3842/SIGMA.2012.013 |