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Isaac, Phillip S., Stoilova, N. I., Van der Jeugt, Joris (2020) The Z2×Z2-graded general linear Lie superalgebra. Journal of Mathematical Physics, 61. 11702pp. doi:10.1063/1.5138597

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Reference TypeJournal (article/letter/editorial)
TitleThe Z2×Z2-graded general linear Lie superalgebra
JournalJournal of Mathematical Physics
AuthorsIsaac, Phillip S.Author
Stoilova, N. I.Author
Van der Jeugt, JorisAuthor
Year2020 (January 1)Volume61
PublisherAIP Publishing
DOIdoi:10.1063/1.5138597Search in ResearchGate
Generate Citation Formats
Mindat Ref. ID5772574Long-form Identifiermindat:1:5:5772574:5
GUID0
Full ReferenceIsaac, Phillip S., Stoilova, N. I., Van der Jeugt, Joris (2020) The Z2×Z2-graded general linear Lie superalgebra. Journal of Mathematical Physics, 61. 11702pp. doi:10.1063/1.5138597
Plain TextIsaac, Phillip S., Stoilova, N. I., Van der Jeugt, Joris (2020) The Z2×Z2-graded general linear Lie superalgebra. Journal of Mathematical Physics, 61. 11702pp. doi:10.1063/1.5138597
In(n.d.) Journal of Mathematical Physics Vol. 61. AIP Publishing

See Also

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Stoilova, N. I., Van der Jeugt, J. (2023) On classical Z2×Z2-graded Lie algebras. Journal of Mathematical Physics, 64 (6) doi:10.1063/5.0149175
Stoilova, N I, der Jeugt, J Van (2024) Orthosymplectic Z2×Z2Z2×Z2 -graded Lie superalgebras and parastatistics. Journal of Physics A: Mathematical and Theoretical, 57 (9) 95202 doi:10.1088/1751-8121/ad2726
Stoilova, N I, Van der Jeugt, J (2022) The Z2×Z2 -graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞) , and parastatistics Fock spaces. Journal of Physics A: Mathematical and Theoretical, 55 (4) 45201pp. doi:10.1088/1751-8121/ac451d
Almutairi, Alhanouf M., Isaac, Phillip S. (2024) A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators. Journal of Mathematical Physics, 65 (1) doi:10.1063/5.0163904
Stoilova, N. I., Van der Jeugt, J. (2010) Gel’fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl(m∣n). Journal of Mathematical Physics, 51. 93523pp. doi:10.1063/1.3478297
King, R C, Stoilova, N I, Jeugt, J Van der (2006) Representations of the Lie superalgebra in a Gel'fand–Zetlin basis and Wigner quantum oscillators. Journal of Physics A: Mathematical and General, 39. 5763-5785 doi:10.1088/0305-4470/39/20/010
Rittenberg, V., Wyler, D. (1978) Sequences of Z2⊗Z2 graded Lie algebras and superalgebras. Journal of Mathematical Physics, 19. 2193pp. doi:10.1063/1.523552
Stoilova, N I, Van der Jeugt, J (2018) The $ \newcommand{\Z}{{{\mathbb Z}}} \Z_2\times\Z_2$ -graded Lie superalgebra $ \newcommand{\pso}{\mathfrak{pso}} \pso(2m+1\vert 2n)$ and new parastatistics representations. Journal of Physics A: Mathematical and Theoretical, 51. 135201pp. doi:10.1088/1751-8121/aaae9a
Lievens, S, Stoilova, N I, Jeugt, J Van der (2007) On the eigenvalue problem for arbitrary odd elements of the Lie superalgebra and applications. Journal of Physics A: Mathematical and Theoretical, 40. 3869-3888 doi:10.1088/1751-8113/40/14/009
Lievens, S., Stoilova, N. I., Van der Jeugt, J. (2008) The Paraboson Fock Space and Unitary Irreducible Representations of the Lie Superalgebra $${{\mathfrak{osp}}}$$ (1|2n). Communications in Mathematical Physics, 282 (2). 575 doi:10.1007/s00220-008-0567-5
Stoilova, N I, Van der Jeugt, J (2019) Representations of the Lie superalgebra $ \newcommand{\B}{\mathfrak{B}} {\B(\infty,\infty)}$ and parastatistics Fock spaces. Journal of Physics A: Mathematical and Theoretical, 52. 135201pp. doi:10.1088/1751-8121/ab09bc
 
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