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

Fabio Bagarello, Francesco G. Russo

Research output: Contribution to journalArticle

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.
Original languageEnglish
Pages (from-to)124-131
Number of pages8
JournalJournal of Geometry and Physics
Volume137
Publication statusPublished - 2019

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Nilpotent Lie Algebra
Bosons
algebra
bosons
operators
Arbitrary
Operator
Schur multiplier
multipliers
ladders
Family

All Science Journal Classification (ASJC) codes

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

Cite this

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

In: Journal of Geometry and Physics, Vol. 137, 2019, p. 124-131.

Research output: Contribution to journalArticle

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