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EnglishWe have recently shown that pseudo-bosonic operators realize concrete examples of finite dimensional nilpotent Lie algebras over the complex field. It has been the first time that such operators were analyzed in terms of nilpotent Lie algebras (under prescribed conditions of physical character). On the other hand, the general classification of a finite dimensional nilpotent Lie algebra l may be given via the size of its Schur multiplier involving the so-called corank t(l) of l. We represent l by pseudo-bosonic ladder operators for t(l)≤6 and this allows us to represent l when its dimension is ≤5.
Bagarello, F., & Russo, F. (2019). On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank. JOURNAL OF GEOMETRY AND PHYSICS, 137, 124-131 [10.1016/j.geomphys.2018.11.009].
| Data di pubblicazione: | 2019 | |
| Titolo: | On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank | |
| Autori: | ||
| Citazione: | Bagarello, F., & Russo, F. (2019). On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank. JOURNAL OF GEOMETRY AND PHYSICS, 137, 124-131 [10.1016/j.geomphys.2018.11.009]. | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.geomphys.2018.11.009 | |
| Abstract: | We have recently shown that pseudo-bosonic operators realize concrete examples of finite dimensional nilpotent Lie algebras over the complex field. It has been the first time that such operators were analyzed in terms of nilpotent Lie algebras (under prescribed conditions of physical character). On the other hand, the general classification of a finite dimensional nilpotent Lie algebra l may be given via the size of its Schur multiplier involving the so-called corank t(l) of l. We represent l by pseudo-bosonic ladder operators for t(l)≤6 and this allows us to represent l when its dimension is ≤5. | |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| BagRus[06-Dec-2018].pdf | Preprint dell'articolo | N/A | Open Access Visualizza/Apri | |
| On_the_presence.pdf | articolo pubblicato | N/A | Administrator Richiedi una copia |
http://hdl.handle.net/10447/356739
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