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

Journal of Geometry and Physics - Tập 137 - Trang 124-131 - 2019
Fabio Bagarello1, Francesco G. Russo2
1Dipartimento di Energia, Ingegneria dell’informazione e modelli Matematici, Universitá degli Studi di Palermo, Viale delle Scienze, I-90128, Palermo, Italy
2Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag X1, Rondebosch 7701, Cape Town, South Africa

Tài liệu tham khảo

Bagarello, 2010, Construction of pseudo-bosons systems, J. Math. Phys., 51, 10.1063/1.3397408 Bagarello, 2015, Deformed canonical (anti-)commutation relations and non-hermitian hamiltonians Bagarello, 2016, Appearances of pseudo-bosons from Black–Scholes equation, J. Math. Phys., 57, 10.1063/1.4944583 Bagarello, 2015, D-pseudo-bosons, Complex Hermite polynomials, and integral quantization, SIGMA Symmetry Integrability Geom. Methods Appl., 11, 23 Bagarello, 2015, Generalized Bogoliubov transformations versus D-pseudo-bosons, J. Math. Phys., 56, 10.1063/1.4933242 Bagarello, 2018, A description of pseudo-bosons in terms of nilpotent Lie algebras, J. Geom. Phy., 125, 1, 10.1016/j.geomphys.2017.12.002 Barnett, 1997 Batten, 1993 Batten, 1996, On characterizing nilpotent Lie algebras by their multipliers, Comm. Algebra, 24, 4319, 10.1080/00927879608825817 Batten, 1996, On covers of Lie algebras, Comm. Algebra, 24, 4301, 10.1080/00927879608825816 Beltită, 2001 Berkovich, 1991, On the order of the commutator subgroups and the schur multiplier of a finite p-group, J. Algebra, 144, 269, 10.1016/0021-8693(91)90106-I Goldstein, 1980 de Graaf, 2007, Classification of 6-dimensional nilpotent Lie algebras over field of characteristic not 2, J. Algebra, 309, 640, 10.1016/j.jalgebra.2006.08.006 Hardy, 2005, On characterizing nilpotent Lie algebras by their multipliers III, Comm. Algebra, 33, 4205, 10.1080/00927870500261512 Hardy, 1998, On characterizing nilpotent Lie algebras by their multipliers t(L)=3;4;5;6, Comm. Algebra, 26, 3527, 10.1080/00927879808826357 Moneyhun, 1994, Isoclinisms in lie algebras, Algebras Groups Geom., 11, 9 Morozov, 1958, Classification of nilpotent lie algebras of sixth order, Izv. Vyssh. Uchebn. Zaved. Mat., 4, 161 Niroomand, 2013, Some criteria for detecting capable Lie algebras, J. Algebra, 384, 36, 10.1016/j.jalgebra.2013.02.033 Niroomand, 2011, A note on the schur multiplier of a nilpotent Lie algebra, Comm. Algebra, 39, 1293, 10.1080/00927871003652660 Niroomand, 2011, A restriction on the schur multiplier of nilpotent Lie algebras, Electron. J. Linear Algebra, 22, 1, 10.13001/1081-3810.1423 Schmüdgen, 1990 Schur, 1907, Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen, J. Reine Angew. Math., 132, 85 Snobl, 2014, vol. 33 Turkowski, 1990, Solvable Lie algebras of dimension six, J. Math. Phys., 31, 1344, 10.1063/1.528721 Weibel, 1997 Zhou, 1994, On the order of the Schur multiplier of finite p–groups, Comm. Algebra, 22, 1, 10.1080/00927879408824827