Ch. D. Palev, “Irreducible finite-dimensional representations of lie superalgebras $gl(n,1)$ in the Gel'fand–Tsetlin basis”, Funktsional. Anal. i Prilozhen., 21:3 (1987), 85–86; Funct. Anal. Appl., 21:3 (1987), 245

Citation in format AMSBIB

\Bibitem{Pal87}

\by Ch.~D.~Palev

\paper Irreducible finite-dimensional representations of lie superalgebras $gl(n,1)$ in the Gel'fand--Tsetlin basis

\jour Funktsional. Anal. i Prilozhen.

\yr 1987

\vol 21

\issue 3

\pages 85--86

\mathnet{http://mi.mathnet.ru/faa1220}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=911783}

\zmath{https://zbmath.org/?q=an:0646.17010}

\transl

\jour Funct. Anal. Appl.

\yr 1987

\vol 21

\issue 3

\pages 245--246

\crossref{https://doi.org/10.1007/BF02577145}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987M671500014}

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N I Stoilova, J Van der Jeugt, “A class of infinite-dimensional representations of the Lie superalgebra $\mathfrak{o}\mathfrak{s}\mathfrak{p}(2m+1|2n)$ and the parastatistics Fock space”, J. Phys. A: Math. Theor., 48:15 (2015), 155202
Mark D. Gould, Phillip S. Isaac, Jason L. Werry, “Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n)”, Journal of Mathematical Physics, 55:1 (2014)
Mark D. Gould, Phillip S. Isaac, Jason L. Werry, “Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)”, Journal of Mathematical Physics, 54:1 (2013)
N. I. Stoilova, J. Van der Jeugt, “Gel'fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl(m∣n)”, Journal of Mathematical Physics, 51:9 (2010)
T Palev, J Van der Jeugt, “Fock representations of the Lie superalgebraq(n+1)”, J. Phys. A: Math. Gen., 33:13 (2000), 2527
T. D. Palev, N. I. Stoilova, “Highest weight irreducible representations of the Lie superalgebra gl(1|∞)”, Journal of Mathematical Physics, 40:3 (1999), 1574
T. D. PALEV, “A GENERALIZATION OF THE HOLSTEIN–PRIMAKOFF AND THE DYSON EXPANSIONS FOR THE QUANTUM SUPERALGEBRA Uq [gl(n/m)]”, Mod. Phys. Lett. A, 14:04 (1999), 299
T. D. Palev, N. I. Stoilova, “Many-body Wigner quantum systems”, Journal of Mathematical Physics, 38:5 (1997), 2506
B Abdesselam, D Arnaudon, A Chakrabarti, “Representations of Uq(sl(N)) at roots of unity”, J. Phys. A: Math. Gen., 28:19 (1995), 5495
Nguyen Anh Ky, Nedialka I. Stoilova, “Finite-dimensional representations of the quantum superalgebra Uq[gl(2/2)]. II. Nontypical representations at generic q”, Journal of Mathematical Physics, 36:10 (1995), 5979
T D Palev, N I Stoilova, “Wigner quantum oscillators”, J. Phys. A: Math. Gen., 27:3 (1994), 977
Tchavdar D. Palev, Nedjalka I. Stoilova, Symmetries in Science VI, 1993, 593
Nguyen Anh Ky, Tchavdar D. Palev, “Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis”, Journal of Mathematical Physics, 33:5 (1992), 1841
T. D. Palev, V. N. Tolstoy, “Finite-dimensional irreducible representations of the quantum superalgebraU q [gl(n/1)]”, Commun.Math. Phys., 141:3 (1991), 549
T.D. Palev, V. N. Tolstoy, Lecture Notes in Physics, 382, Group Theoretical Methods in Physics, 1991, 177
Tchavdar D. Palev, Nedjalka I. Stoilova, “Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. II. Nontypical representations”, Journal of Mathematical Physics, 31:4 (1990), 953
M. D. Gould, P. D. Jarvis, A. J. Bracken, “Branching rules for a class of typical and atypical representations of gl(m‖n)”, Journal of Mathematical Physics, 31:12 (1990), 2803
Ch. D. Palev, “Essentially typical representations of Lie superalgebras $\mathfrak{gl}(n|m)$ in the Gel'fand-Tsetlin basis”, Funct. Anal. Appl., 23:2 (1989), 141–142