### Abstract

Original language | English |
---|---|

Pages (from-to) | 124-131 |

Number of pages | 8 |

Journal | Journal of Geometry and Physics |

Volume | 137 |

Publication status | Published - 2019 |

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### All Science Journal Classification (ASJC) codes

- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology

### Cite this

*Journal of Geometry and Physics*,

*137*, 124-131.

**On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank.** / Bagarello, Fabio; Russo, Francesco G.

Research output: Contribution to journal › Article

*Journal of Geometry and Physics*, vol. 137, pp. 124-131.

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TY - JOUR

T1 - On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank

AU - Bagarello, Fabio

AU - Russo, Francesco G.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/356739

M3 - Article

VL - 137

SP - 124

EP - 131

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

ER -