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Van der Jeugt, Joris

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Author ID: van-der-jeugt.joris Recent zbMATH articles by "Van der Jeugt, Joris"
Published as: Der Jeugt, J.van; Van der Jeugt, J; Van der Jeugt, J.; Van der Jeugt, Joris; van der Jeugt, J.; van der Jeugt, Joris
Documents Indexed: 176 Publications since 1983, including 1 Book

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129 Publications have been cited 745 times in 419 Documents Cited by Year
Convolutions for orthogonal polynomials from Lie and quantum algebra representations. Zbl 0977.33013
Koelink, H. T.; Van der Jeugt, J.
38
1998
A character formula for singly atypical modules of the Lie superalgebra \(\mathrm{sl}(m| n)\). Zbl 0721.17003
Van der Jeugt, Joris; Hughes, J. W. B.; King, R. C.; Thierry-Mieg, J.
35
1990
Character formulas for irreducible modules of the Lie superalgebras \(\mathrm{sl}(m|n)\). Zbl 0725.17004
Van der Jeugt, Joris; Hughes, J. W. B.; King, R. C.; Thierry-Mieg, J.
34
1990
Character formulae for the Lie superalgebra \(C(n)\). Zbl 0721.17004
Van der Jeugt, Joris
25
1991
Irreducible representations of the exceptional Lie superalgebras \(D(2,1;\alpha)\). Zbl 0604.17001
Van der Jeugt, Joris
25
1985
On the composition factors of Kac modules for the Lie superalgebras \(sl(m/n)\). Zbl 0747.17003
Hughes, J. W. B.; King, R. C.; Van der Jeugt, Joris
24
1992
Finite- and infinite-dimensional representations of the orthosymplectic superalgebra \(\text{Osp}(3,2)\). Zbl 0563.17007
Van der Jeugt, Joris
20
1984
A determinantal formula for supersymmetric Schur polynomials. Zbl 1020.05070
Moens, E. M.; Van der Jeugt, J.
19
2003
Finite-dimensional representations of the quantum superalgebra \(U_ q[gl(n/m)]\) and related \(q\)-identities. Zbl 0853.17016
Palev, T. D.; Stoilova, N. I.; Van der Jeugt, Joris
17
1994
Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\). Zbl 0932.17009
Van der Jeugt, J.; Zhang, R. B.
15
1999
The \(q\)-boson operator algebra and \(q\)-Hermite polynomials. Zbl 0760.17016
Van der Jeugt, Joris
14
1992
Group theoretical basis for the terminating \(_ 3F_ 2(1)\) series. Zbl 0761.33002
Srinivasa Rao, K.; Van der Jeugt, Joris; Raynal, J.; Jagannathan, R.; Rajeswari, V.
14
1992
The paraboson Fock space and unitary irreducible representations of the Lie superalgebra \({\mathfrak{osp}(1|2n)}\). Zbl 1184.17004
Lievens, S.; Stoilova, N. I.; Van der Jeugt, J.
13
2008
Invariance groups of transformations of basic hypergeometric series. Zbl 0956.33012
Van der Jeugt, J.; Srinivasa Rao, K.
13
1999
Coupling coefficients for Lie algebra representations and addition formulas for special functions. Zbl 0897.17005
Van der Jeugt, J.
13
1997
Multiple hypergeometric functions and \(9-j\) coefficients. Zbl 0847.33009
Van der Jeugt, Joris; Pitre, Sangita N.; Srinivasa Rao, K.
11
1994
Regular subalgebras of Lie superalgebras and extended Dynkin diagrams. Zbl 0627.17002
Van der Jeugt, Joris
10
1987
Generalized Fourier transforms arising from the enveloping algebras of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2\)). Zbl 1404.43010
De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris
9
2016
The \(\mathfrak{su}(2)_\alpha\) Hahn oscillator and a discrete Fourier-Hahn transform. Zbl 1231.81030
Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J.
9
2011
The parafermion Fock space and explicit \(\mathfrak{so}(2n+1) \) representations. Zbl 1138.81023
Stoilova, N. I.; Van der Jeugt, J.
9
2008
\(3nj\)-coefficients and orthogonal polynomials of hypergeometric type. Zbl 1038.33007
Van der Jeugt, Joris
8
2003
Jacobson generators, Fock representations and statistics of \(\text{sl}(n+1)\). Zbl 1060.81532
Palev, T. D.; Van der Jeugt, J.
8
2002
Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group. Zbl 0994.33007
Van der Jeugt, J.
8
2002
Bilinear generating functions for orthogonal polynomials. Zbl 0941.33011
Koelink, H. T.; Van der Jeugt, J.
8
1999
Transformation and summation formulas for double hypergeometric series. Zbl 0884.33009
Van der Jeugt, J.; Pitre, S. N.; Srinivasa Rao, K.
8
1997
Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\). Zbl 0861.33013
Pitre, S. N.; Van der Jeugt, Joris
8
1996
Boson realization of the Lie algebra \(F_ 4\) and non-trivial zeros of \(6j\) symbols. Zbl 0537.22019
Van der Jeugt, Joris; Vanden Berghe, G.; De Meyer, H.
8
1983
Finite oscillator models: the Hahn oscillator. Zbl 1220.81091
Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J.
7
2011
Finite-dimensional representations of the quantum group \(\text{GL}_{p,q} (2)\) using the exponential map from \(U_{p,q} (\text{gl} (2))\). Zbl 0836.17016
Jagannathan, R.; Van der Jeugt, Joris
7
1995
The quantum superalgebra \(U_ q[osp(1/2n)]\): deformed para-Bose operators and root of unity representations. Zbl 0853.17017
Palev, T. D.; Van der Jeugt, Joris
7
1995
Stretched 9-\(j\) coefficients and summation theorems. Zbl 0849.33010
Srinivasa Rao, K.; Van der Jeugt, Joris
7
1994
An algorithm for characters of Hecke algebras \(H_ n(q)\) of type \(A_{n-1}\). Zbl 0763.20005
Van der Jeugt, Joris
7
1991
Realizations of \(F_ 4\) in \(\text{SO}(3)\otimes\text{SO}(3)\) bases and structural zeros of the \(6j\)-symbol. Zbl 0551.22008
De Meyer, Hans; Vanden Berghe, G.; Van der Jeugt, Joris
7
1984
An exactly solvable spin chain related to Hahn polynomials. Zbl 1220.82029
Stoilova, Neli I.; Van der Jeugt, Joris
6
2011
Gel’fand-Zetlin basis and Clebsch-Gordan coefficients for covariant representations of the Lie superalgebra \(\mathfrak{gl}(m \mid n)\). Zbl 1309.17003
Stoilova, N. I.; Van der Jeugt, J.
6
2010
Quantum communication through a spin chain with interaction determined by a Jacobi matrix. Zbl 1197.81071
Chakrabarti, R.; Van der Jeugt, J.
6
2010
A character formula for atypical critical \(\mathfrak{gl}(m|n)\) representations labelled by composite partitions. Zbl 1077.17010
Moens, E. M.; Van der Jeugt, J.
6
2004
A non-commutative \(n\)-particle 3D Wigner quantum oscillator. Zbl 1055.81017
King, R. C.; Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J.
6
2003
Realizations of \(\text{su}(1,1)\) and \(U_q(\text{su}(1,1))\) and generating functions for orthogonal polynomials. Zbl 0928.17017
Van der Jeugt, J.; Jagannathan, R.
6
1998
Nonscalar extension of shift operator techniques for \(\text{SU}(3)\) in an \(\text{O}(3)\) basis. III: Shift operators of second degree in the tensor components. Zbl 0517.22021
Van der Jeugt, Joris; De Meyer, H. E.; Vanden Berghe, G.
6
1983
A class of infinite-dimensional representations of the Lie superalgebra \(\mathfrak{osp}(2m+1|2n)\) and the parastatistics Fock space. Zbl 1328.17009
Stoilova, N. I.; Van der Jeugt, J.
5
2015
Motzkin paths, Motzkin polynomials and recurrence relations. Zbl 1310.05013
Oste, Roy; Van der Jeugt, Joris
5
2015
Symmetry groups of Bailey’s transformations for \(_{10}\phi _{9}\)-series. Zbl 1123.33014
Lievens, S.; Van der Jeugt, J.
5
2007
The finite group of the Kummer solutions. Zbl 1071.33006
Lievens, S.; Srinivasa Rao, K.; Van der Jeugt, J.
5
2005
On dimension formulas for \({\mathfrak {gl}} (m| n)\) representations. Zbl 1085.17007
Moens, E. M.; Van der Jeugt, J.
5
2004
The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator. Zbl 1078.81040
King, R. C.; Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J.
5
2003
Macroscopic properties of \(A\)-statistics. Zbl 0993.81030
Jellal, A.; Palev, T. D.; Van der Jeugt, J.
5
2001
Fock representations of the superalgebra \(\text{sl}(n+1|m)\), its quantum analogue \(U_q[\text{sl}(n+1|m)]\) and related quantum statistics. Zbl 1028.17006
Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J.
5
2000
Representations of \(N=2\) extended supergravity and unitarity conditions in \(\mathrm{Osp}(N,4)\). Zbl 0643.17012
Van der Jeugt, Joris
5
1987
On the spectra of \(\text{SO}(3)\) scalars in the enveloping algebra of \(\text{SU}(3)\). Zbl 0591.22012
De Meyer, Hans; Vanden Berghe, G.; Van der Jeugt, Joris
5
1985
Tensor operator realizations of \(E_ 6\) and structural zeros of the \(6j\)-symbol. Zbl 0558.17009
Vanden Berghe, G.; De Meyer, Hans; Van der Jeugt, Joris
5
1984
On the algebra of symmetries of Laplace and Dirac operators. Zbl 1397.81085
De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris
4
2018
The \(\mathbb {Z} \times\mathbb{Z}_2\) -graded Lie superalgebra \( \mathfrak{pso}(2m+1| 2n)\) and new parastatistics representations. Zbl 1390.81766
Stoilova, N. I.; Der Jeugt, J.van
4
2018
Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix. Zbl 1354.65075
Oste, Roy; Van der Jeugt, Joris
4
2017
Deformed \(\mathfrak{su}(1,1)\) algebra as a model for quantum oscillators. Zbl 1248.81039
Jafarov, Elchin I.; Stoilova, Neli I.; Van der Jeugt, Joris
4
2012
Composite supersymmetric s-functions and characters of \(\mathfrak{gl}(m|n)\) representations. Zbl 1342.17004
Moens, E. M.; Van der Jeugt, J.
4
2006
Harmonic oscillators coupled by springs: discrete solutions as a Wigner quantum system. Zbl 1112.81068
Lievens, S.; Stoilova, N. I.; Van der Jeugt, J.
4
2006
Invariance groups of three term transformations for basic hypergeometric series. Zbl 1102.33015
Lievens, S.; Van der Jeugt, J.
4
2006
Representations of the Lie superalgebra \(\mathfrak{gl}(1|n)\) in a Gel’fand-Zetlin basis and Wigner quantum oscillators. Zbl 1099.17005
King, R. C.; Stoilova, N. I.; Van der Jeugt, J.
4
2006
A classification of generalized quantum statistics associated with classical Lie algebras. Zbl 1067.81055
Stoilova, N. I.; Van der Jeugt, J.
4
2005
\(3nj\)-coefficients of \(\text{su}(1,1)\) as connection coefficients between orthogonal polynomials in \(n\) variables. Zbl 1060.33020
Lievens, S.; Van der Jeugt, J.
4
2002
Transformation formulas for double hypergeometric series related to \(9\text{-}j\) coefficients and their basic analogs. Zbl 1057.33012
Lievens, S.; Van der Jeugt, J.
4
2001
Polynomial deformations of \(\text{osp} (1/2)\) and generalized parabosons. Zbl 0856.17024
Van der Jeugt, Joris; Jagannathan, R.
4
1995
New efficient programs to calculate general recoupling coefficients. I: Generation of a summation formula. Zbl 0891.17002
Fack, V.; Pitre, S. N.; Van der Jeugt, J.
4
1994
On the zeros of \(3j\) coefficients: Polynomial degree versus recurrence order. Zbl 0824.33008
Raynal, Jacques; Van der Jeugt, Joris; Srinivasa Rao, K.; Rajeswari, V.
4
1993
Principal five-dimensional subalgebras of Lie superalgebras. Zbl 0615.17004
Van der Jeugt, Joris
4
1986
Shift operator approach of the spin-isospin supermultiplet state labelling problem: Eigenvalue determination of the \(\Omega\) and \(\Phi\) labelling operators. Zbl 0538.22014
Van der Jeugt, Joris; De Meyer, H. E.; Vanden Berghe, G.
4
1983
The Hamiltonian \(H=xp\) and classification of \(\mathfrak{osp}(1|2)\) representations. Zbl 1210.81061
Regniers, G.; Van der Jeugt, J.
3
2010
Quantum state transfer in spin chains with \(q\)-deformed interaction terms. Zbl 1205.81046
Jafarov, E. I.; Van der Jeugt, J.
3
2010
Harmonic oscillator chains as Wigner quantum systems: periodic and fixed wall boundary conditions in \(\mathfrak {gl} (1|n)\) solutions. Zbl 1152.81531
Lievens, S.; Stoilova, N. I.; Van der Jeugt, J.
3
2008
Spectrum generating functions for non-canonical quantum oscillators. Zbl 1152.81024
Lievens, S.; Van der Jeugt, J.
3
2008
The Wigner distribution function for the one-dimensional parabose oscillator. Zbl 1140.81425
Jafarov, E.; Lievens, S.; Van der Jeugt, J.
3
2008
Microscopic and macroscopic properties of \(A\)-superstatistics. Zbl 1067.81078
Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J.
3
2003
Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\). Zbl 0955.33007
Van der Jeugt, J.
3
2000
Transformations of single and double hypergeometric series from the triple sum series for the 9-\(j\) coefficients. Zbl 0919.33002
Srinivasa Rao, K.; Van der Jeugt, J.
3
1998
Dimension formulas for the Lie superalgebra \({\mathfrak {sl}}(m/n)\). Zbl 0833.17002
Van der Jeugt, Joris
3
1995
Adjoint boson realization of SU(\(N\)) and a family of structural zeros of \(6j\) coefficients. Zbl 0854.17007
Van der Jeugt, Joris
3
1994
\(R\)-matrix formulation of deformed boson algebra. Zbl 0785.17026
Van der Jeugt, Joris
3
1993
Tensor product of group representations and structural zeros of Racah coefficients. Zbl 0768.22011
Van der Jeugt, Joris
3
1992
Totally symmetric irreducible representations of the group \(\text{SO}(6)\) in the principal \(\text{SO}(3)\) subgroup basis. Zbl 0636.22016
Vanthournout, Jan; Van der Jeugt, Joris; De Meyer, Hans; Vanden Berghe, Guido
3
1987
Structure of atypical representations of the Lie superalgebras sl(m/n). Zbl 0627.17001
Van der Jeugt, Joris
3
1987
The shift operator technique for \(\text{SO}(7)\) in an \([\text{SU}(2)]^ 3\) basis. I: Theory. Zbl 0554.22013
Van der Jeugt, Joris; De Wilde, P.
3
1984
The total angular momentum algebra related to the \(\mathrm S_3\) Dunkl Dirac equation. Zbl 1384.81024
De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris
2
2018
A finite oscillator model with equidistant position spectrum based on an extension of \({\mathfrak{su}}(2)\). Zbl 1344.81077
Oste, Roy; van der Jeugt, Joris
2
2016
Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators. Zbl 1354.30045
Eelbode, D.; Raeymaekers, T.; Van der Jeugt, J.
2
2015
Discrete series representations for \(\mathfrak{sl}(2|1)\) Meixner polynomials and oscillator models. Zbl 1278.81067
Jafarov, E. I.; Van der Jeugt, J.
2
2012
A finite oscillator model related to \(\mathfrak {sl}(2|1)\). Zbl 1250.81036
Jafarov, E I; Van der Jeugt, J
2
2012
Parafermions, parabosons and representations of \({\mathfrak{so}}(\infty)\) and \({\mathfrak{osp}}(1|\infty)\). Zbl 1181.81128
Stoilova, N. I.; Van der Jeugt, J.
2
2009
The Wigner function of a \(q\)-deformed harmonic oscillator model. Zbl 1113.81078
Jafarov, E. I.; Lievens, S.; Nagiyev, S. M.; Van der Jeugt, J.
2
2007
Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras. Zbl 1137.81347
Stoilova, N. I.; Van der Jeugt, J.
2
2007
On characters and dimension formulas for representations of the Lie superalgebra \(\mathfrak{gl}(m| n)\). Zbl 1229.17005
Moens, E. M.; Van der Jeugt, J.
2
2005
Fundamental fermions fit inside one \(\text{su}(1|5)\) irreducible representation. Zbl 1104.81087
Stoilova, N. I.; Van der Jeugt, J.
2
2005
On the diameter of the rotation graph of binary coupling trees. Zbl 0993.05064
Fack, V.; Lievens, S.; Van der Jeugt, J.
2
2002
Fock representations of the Lie superalgebra \(q(n+1)\). Zbl 1022.17006
Palev, T.; Van der Jeugt, J.
2
2000
Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra \(\mathcal U_h(\text{sl}(2))\). Zbl 0991.81049
Van der Jeugt, J.
2
1998
Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13–24, 1997. Zbl 0914.00063
Srinivasa Rao, K. (ed.); Jagannathan, R. (ed.); Vanden Berghe, G. (ed.); Van der Jeugt, J. (ed.)
2
1998
The Jordanian deformation of \(\text{SU}(2)\) and Clebsch-Gordan coefficients. Zbl 0942.17013
Van der Jeugt, Joris
2
1997
Calculation of general recoupling coefficients using graphical methods. Zbl 0928.65176
Fack, V.; Pitre, S. N.; Van der Jeugt, J.
2
1997
The polynomial zeros of degree \(2\) of the \(9\)-\(j\) coefficient. Zbl 1291.33019
Srinivasa Rao, K.; Pitre, Sangita N.; Van der Jeugt, J.
2
1996
New efficient programs to calculate general recoupling coefficients. II: Evaluation of a summation formula. Zbl 0891.17003
Fack, V.; Pitre, S. N.; Van der Jeugt, J.
2
1995
On the algebra of symmetries of Laplace and Dirac operators. Zbl 1397.81085
De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris
4
2018
The \(\mathbb {Z} \times\mathbb{Z}_2\) -graded Lie superalgebra \( \mathfrak{pso}(2m+1| 2n)\) and new parastatistics representations. Zbl 1390.81766
Stoilova, N. I.; Der Jeugt, J.van
4
2018
The total angular momentum algebra related to the \(\mathrm S_3\) Dunkl Dirac equation. Zbl 1384.81024
De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris
2
2018
Symmetries of the \(S_3\) Dirac-Dunkl operator. Zbl 1409.22018
De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris
1
2018
Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix. Zbl 1354.65075
Oste, Roy; Van der Jeugt, Joris
4
2017
Generalized Fourier transforms arising from the enveloping algebras of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2\)). Zbl 1404.43010
De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris
9
2016
A finite oscillator model with equidistant position spectrum based on an extension of \({\mathfrak{su}}(2)\). Zbl 1344.81077
Oste, Roy; van der Jeugt, Joris
2
2016
The parastatistics Fock space and explicit infinite-dimensional representations of the Lie superalgebra \(\mathfrak{osp}(2m+1|2n)\). Zbl 1387.17016
Stoilova, N. I.; Van der Jeugt, J.
1
2016
Doubling (dual) Hahn polynomials: classification and applications. Zbl 1333.81141
Oste, Roy; Van der Jeugt, Joris
1
2016
A class of infinite-dimensional representations of the Lie superalgebra \(\mathfrak{osp}(2m+1|2n)\) and the parastatistics Fock space. Zbl 1328.17009
Stoilova, N. I.; Van der Jeugt, J.
5
2015
Motzkin paths, Motzkin polynomials and recurrence relations. Zbl 1310.05013
Oste, Roy; Van der Jeugt, Joris
5
2015
Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators. Zbl 1354.30045
Eelbode, D.; Raeymaekers, T.; Van der Jeugt, J.
2
2015
On a pair of difference equations for the \(_4F_3\) type orthogonal polynomials and related exactly-solvable quantum systems. Zbl 1317.81144
Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J.
1
2014
Finite oscillator models described by the Lie superalgebra \(\mathfrak{sl}(2|1)\). Zbl 1297.81085
Van der Jeugt, J.
1
2013
A Wigner distribution function for finite oscillator systems. Zbl 1280.81085
Van der Jeugt, J.
1
2013
Wigner quantization and Lie superalgebra representations. Zbl 1276.81080
Van der Jeugt, Joris
1
2013
Deformed \(\mathfrak{su}(1,1)\) algebra as a model for quantum oscillators. Zbl 1248.81039
Jafarov, Elchin I.; Stoilova, Neli I.; Van der Jeugt, Joris
4
2012
Discrete series representations for \(\mathfrak{sl}(2|1)\) Meixner polynomials and oscillator models. Zbl 1278.81067
Jafarov, E. I.; Van der Jeugt, J.
2
2012
A finite oscillator model related to \(\mathfrak {sl}(2|1)\). Zbl 1250.81036
Jafarov, E I; Van der Jeugt, J
2
2012
The \(\mathfrak{su}(2)_\alpha\) Hahn oscillator and a discrete Fourier-Hahn transform. Zbl 1231.81030
Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J.
9
2011
Finite oscillator models: the Hahn oscillator. Zbl 1220.81091
Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J.
7
2011
An exactly solvable spin chain related to Hahn polynomials. Zbl 1220.82029
Stoilova, Neli I.; Van der Jeugt, Joris
6
2011
Gel’fand-Zetlin basis and Clebsch-Gordan coefficients for covariant representations of the Lie superalgebra \(\mathfrak{gl}(m \mid n)\). Zbl 1309.17003
Stoilova, N. I.; Van der Jeugt, J.
6
2010
Quantum communication through a spin chain with interaction determined by a Jacobi matrix. Zbl 1197.81071
Chakrabarti, R.; Van der Jeugt, J.
6
2010
The Hamiltonian \(H=xp\) and classification of \(\mathfrak{osp}(1|2)\) representations. Zbl 1210.81061
Regniers, G.; Van der Jeugt, J.
3
2010
Quantum state transfer in spin chains with \(q\)-deformed interaction terms. Zbl 1205.81046
Jafarov, E. I.; Van der Jeugt, J.
3
2010
Wigner quantization of some one-dimensional Hamiltonians. Zbl 1314.81121
Regniers, G.; Van der Jeugt, J.
1
2010
Parafermions, parabosons and representations of \({\mathfrak{so}}(\infty)\) and \({\mathfrak{osp}}(1|\infty)\). Zbl 1181.81128
Stoilova, N. I.; Van der Jeugt, J.
2
2009
The paraboson Fock space and unitary irreducible representations of the Lie superalgebra \({\mathfrak{osp}(1|2n)}\). Zbl 1184.17004
Lievens, S.; Stoilova, N. I.; Van der Jeugt, J.
13
2008
The parafermion Fock space and explicit \(\mathfrak{so}(2n+1) \) representations. Zbl 1138.81023
Stoilova, N. I.; Van der Jeugt, J.
9
2008
Harmonic oscillator chains as Wigner quantum systems: periodic and fixed wall boundary conditions in \(\mathfrak {gl} (1|n)\) solutions. Zbl 1152.81531
Lievens, S.; Stoilova, N. I.; Van der Jeugt, J.
3
2008
Spectrum generating functions for non-canonical quantum oscillators. Zbl 1152.81024
Lievens, S.; Van der Jeugt, J.
3
2008
The Wigner distribution function for the one-dimensional parabose oscillator. Zbl 1140.81425
Jafarov, E.; Lievens, S.; Van der Jeugt, J.
3
2008
Symmetry groups of Bailey’s transformations for \(_{10}\phi _{9}\)-series. Zbl 1123.33014
Lievens, S.; Van der Jeugt, J.
5
2007
The Wigner function of a \(q\)-deformed harmonic oscillator model. Zbl 1113.81078
Jafarov, E. I.; Lievens, S.; Nagiyev, S. M.; Van der Jeugt, J.
2
2007
Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras. Zbl 1137.81347
Stoilova, N. I.; Van der Jeugt, J.
2
2007
On the eigenvalue problem for arbitrary odd elements of the Lie superalgebra \(\mathfrak{gl}(1|n)\) and applications. Zbl 1118.81044
Lievens, S.; Stoilova, N. I.; Van der Jeugt, J.
1
2007
Composite supersymmetric s-functions and characters of \(\mathfrak{gl}(m|n)\) representations. Zbl 1342.17004
Moens, E. M.; Van der Jeugt, J.
4
2006
Harmonic oscillators coupled by springs: discrete solutions as a Wigner quantum system. Zbl 1112.81068
Lievens, S.; Stoilova, N. I.; Van der Jeugt, J.
4
2006
Invariance groups of three term transformations for basic hypergeometric series. Zbl 1102.33015
Lievens, S.; Van der Jeugt, J.
4
2006
Representations of the Lie superalgebra \(\mathfrak{gl}(1|n)\) in a Gel’fand-Zetlin basis and Wigner quantum oscillators. Zbl 1099.17005
King, R. C.; Stoilova, N. I.; Van der Jeugt, J.
4
2006
The finite group of the Kummer solutions. Zbl 1071.33006
Lievens, S.; Srinivasa Rao, K.; Van der Jeugt, J.
5
2005
A classification of generalized quantum statistics associated with classical Lie algebras. Zbl 1067.81055
Stoilova, N. I.; Van der Jeugt, J.
4
2005
On characters and dimension formulas for representations of the Lie superalgebra \(\mathfrak{gl}(m| n)\). Zbl 1229.17005
Moens, E. M.; Van der Jeugt, J.
2
2005
Fundamental fermions fit inside one \(\text{su}(1|5)\) irreducible representation. Zbl 1104.81087
Stoilova, N. I.; Van der Jeugt, J.
2
2005
A classification of generalized quantum statistics associated with basic classical Lie superalgebras. Zbl 1111.81081
Stoilova, N. I.; Van der Jeugt, J.
1
2005
Solutions of the compatibility conditions for a Wigner quantum oscillator. Zbl 1086.81038
Stoilova, N. I.; Van der Jeugt, J.
1
2005
A character formula for atypical critical \(\mathfrak{gl}(m|n)\) representations labelled by composite partitions. Zbl 1077.17010
Moens, E. M.; Van der Jeugt, J.
6
2004
On dimension formulas for \({\mathfrak {gl}} (m| n)\) representations. Zbl 1085.17007
Moens, E. M.; Van der Jeugt, J.
5
2004
A determinantal formula for supersymmetric Schur polynomials. Zbl 1020.05070
Moens, E. M.; Van der Jeugt, J.
19
2003
\(3nj\)-coefficients and orthogonal polynomials of hypergeometric type. Zbl 1038.33007
Van der Jeugt, Joris
8
2003
A non-commutative \(n\)-particle 3D Wigner quantum oscillator. Zbl 1055.81017
King, R. C.; Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J.
6
2003
The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator. Zbl 1078.81040
King, R. C.; Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J.
5
2003
Microscopic and macroscopic properties of \(A\)-superstatistics. Zbl 1067.81078
Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J.
3
2003
Jacobson generators, Fock representations and statistics of \(\text{sl}(n+1)\). Zbl 1060.81532
Palev, T. D.; Van der Jeugt, J.
8
2002
Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group. Zbl 0994.33007
Van der Jeugt, J.
8
2002
\(3nj\)-coefficients of \(\text{su}(1,1)\) as connection coefficients between orthogonal polynomials in \(n\) variables. Zbl 1060.33020
Lievens, S.; Van der Jeugt, J.
4
2002
On the diameter of the rotation graph of binary coupling trees. Zbl 0993.05064
Fack, V.; Lievens, S.; Van der Jeugt, J.
2
2002
Macroscopic properties of \(A\)-statistics. Zbl 0993.81030
Jellal, A.; Palev, T. D.; Van der Jeugt, J.
5
2001
Transformation formulas for double hypergeometric series related to \(9\text{-}j\) coefficients and their basic analogs. Zbl 1057.33012
Lievens, S.; Van der Jeugt, J.
4
2001
Realizations of the Lie superalgebra \(q(2)\) and applications. Zbl 1052.81041
Debergh, N.; Van der Jeugt, J.
1
2001
Fock representations of the superalgebra \(\text{sl}(n+1|m)\), its quantum analogue \(U_q[\text{sl}(n+1|m)]\) and related quantum statistics. Zbl 1028.17006
Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J.
5
2000
Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\). Zbl 0955.33007
Van der Jeugt, J.
3
2000
Fock representations of the Lie superalgebra \(q(n+1)\). Zbl 1022.17006
Palev, T.; Van der Jeugt, J.
2
2000
Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\). Zbl 0932.17009
Van der Jeugt, J.; Zhang, R. B.
15
1999
Invariance groups of transformations of basic hypergeometric series. Zbl 0956.33012
Van der Jeugt, J.; Srinivasa Rao, K.
13
1999
Bilinear generating functions for orthogonal polynomials. Zbl 0941.33011
Koelink, H. T.; Van der Jeugt, J.
8
1999
On bounds for the rotation distance between binary coupling trees. Zbl 1039.05515
Fack, V.; Lievens, S.; Van der Jeugt, J.
1
1999
Convolutions for orthogonal polynomials from Lie and quantum algebra representations. Zbl 0977.33013
Koelink, H. T.; Van der Jeugt, J.
38
1998
Realizations of \(\text{su}(1,1)\) and \(U_q(\text{su}(1,1))\) and generating functions for orthogonal polynomials. Zbl 0928.17017
Van der Jeugt, J.; Jagannathan, R.
6
1998
Transformations of single and double hypergeometric series from the triple sum series for the 9-\(j\) coefficients. Zbl 0919.33002
Srinivasa Rao, K.; Van der Jeugt, J.
3
1998
Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra \(\mathcal U_h(\text{sl}(2))\). Zbl 0991.81049
Van der Jeugt, J.
2
1998
Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13–24, 1997. Zbl 0914.00063
Srinivasa Rao, K. (ed.); Jagannathan, R. (ed.); Vanden Berghe, G. (ed.); Van der Jeugt, J. (ed.)
2
1998
Coupling coefficients for Lie algebra representations and addition formulas for special functions. Zbl 0897.17005
Van der Jeugt, J.
13
1997
Transformation and summation formulas for double hypergeometric series. Zbl 0884.33009
Van der Jeugt, J.; Pitre, S. N.; Srinivasa Rao, K.
8
1997
The Jordanian deformation of \(\text{SU}(2)\) and Clebsch-Gordan coefficients. Zbl 0942.17013
Van der Jeugt, Joris
2
1997
Calculation of general recoupling coefficients using graphical methods. Zbl 0928.65176
Fack, V.; Pitre, S. N.; Van der Jeugt, J.
2
1997
Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\). Zbl 0861.33013
Pitre, S. N.; Van der Jeugt, Joris
8
1996
The polynomial zeros of degree \(2\) of the \(9\)-\(j\) coefficient. Zbl 1291.33019
Srinivasa Rao, K.; Pitre, Sangita N.; Van der Jeugt, J.
2
1996
On the Lie superalgebra embedding \(C(n+1)\supset B(0,n)\) and dimension formulas. Zbl 0870.17003
Van der Jeugt, J.
1
1996
Finite-dimensional representations of the quantum group \(\text{GL}_{p,q} (2)\) using the exponential map from \(U_{p,q} (\text{gl} (2))\). Zbl 0836.17016
Jagannathan, R.; Van der Jeugt, Joris
7
1995
The quantum superalgebra \(U_ q[osp(1/2n)]\): deformed para-Bose operators and root of unity representations. Zbl 0853.17017
Palev, T. D.; Van der Jeugt, Joris
7
1995
Polynomial deformations of \(\text{osp} (1/2)\) and generalized parabosons. Zbl 0856.17024
Van der Jeugt, Joris; Jagannathan, R.
4
1995
Dimension formulas for the Lie superalgebra \({\mathfrak {sl}}(m/n)\). Zbl 0833.17002
Van der Jeugt, Joris
3
1995
New efficient programs to calculate general recoupling coefficients. II: Evaluation of a summation formula. Zbl 0891.17003
Fack, V.; Pitre, S. N.; Van der Jeugt, J.
2
1995
Finite-dimensional representations of the quantum superalgebra \(U_ q[gl(n/m)]\) and related \(q\)-identities. Zbl 0853.17016
Palev, T. D.; Stoilova, N. I.; Van der Jeugt, Joris
17
1994
Multiple hypergeometric functions and \(9-j\) coefficients. Zbl 0847.33009
Van der Jeugt, Joris; Pitre, Sangita N.; Srinivasa Rao, K.
11
1994
Stretched 9-\(j\) coefficients and summation theorems. Zbl 0849.33010
Srinivasa Rao, K.; Van der Jeugt, Joris
7
1994
New efficient programs to calculate general recoupling coefficients. I: Generation of a summation formula. Zbl 0891.17002
Fack, V.; Pitre, S. N.; Van der Jeugt, J.
4
1994
Adjoint boson realization of SU(\(N\)) and a family of structural zeros of \(6j\) coefficients. Zbl 0854.17007
Van der Jeugt, Joris
3
1994
On the zeros of \(3j\) coefficients: Polynomial degree versus recurrence order. Zbl 0824.33008
Raynal, Jacques; Van der Jeugt, Joris; Srinivasa Rao, K.; Rajeswari, V.
4
1993
\(R\)-matrix formulation of deformed boson algebra. Zbl 0785.17026
Van der Jeugt, Joris
3
1993
On the composition factors of Kac modules for the Lie superalgebras \(sl(m/n)\). Zbl 0747.17003
Hughes, J. W. B.; King, R. C.; Van der Jeugt, Joris
24
1992
The \(q\)-boson operator algebra and \(q\)-Hermite polynomials. Zbl 0760.17016
Van der Jeugt, Joris
14
1992
Group theoretical basis for the terminating \(_ 3F_ 2(1)\) series. Zbl 0761.33002
Srinivasa Rao, K.; Van der Jeugt, Joris; Raynal, J.; Jagannathan, R.; Rajeswari, V.
14
1992
Tensor product of group representations and structural zeros of Racah coefficients. Zbl 0768.22011
Van der Jeugt, Joris
3
1992
On the algebra of coupled SO(3) tensors. Zbl 0749.17005
Srinivasa Rao, K.; Van der Jeugt, Joris; Vanden Berghe, G.
2
1992
Character formulae for the Lie superalgebra \(C(n)\). Zbl 0721.17004
Van der Jeugt, Joris
25
1991
An algorithm for characters of Hecke algebras \(H_ n(q)\) of type \(A_{n-1}\). Zbl 0763.20005
Van der Jeugt, Joris
7
1991
Unimodal polynomials associated with Lie algebras and superalgebras. Zbl 0748.11020
Hughes, J. W. B.; Van der Jeugt, Joris
2
1991
...and 29 more Documents
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Cited by 464 Authors

72 Van der Jeugt, Joris
22 Stoilova, Nedjalka I.
16 Vinet, Luc
15 Zhang, Ruibin
13 Su, Yucai
13 Vanden Berghe, Guido
11 Lievens, Stijn
9 De Meyer, Hans E.
9 Palev, Tchavdar D.
8 Gould, Mark D.
8 Zhedanov, Alexei S.
6 Aizawa, Naruhiko
6 Cheng, Shun-Jen
6 Groenevelt, Wolter G. M.
6 Hughes, J. W. B.
5 Chu, Wenchang
5 De Bie, Hendrik
5 Fack, Veerle
5 Genest, Vincent X.
5 Isaac, Phillip S.
5 Moriyama, Sanefumi
5 Oste, Roy
5 Sergeev, Aleksandr Nikolaevich
5 Shakibi, H.
5 Terwilliger, Paul M.
4 Atakishiev, Natig M.
4 Ben Saïd, Salem
4 Chung, Won-Sang
4 Jia, Cangzhi
4 Lee Shader, Chanyoung
4 Mejjaoli, Hatem
4 Segar, Jambulingam
4 Vanthournout, Jan
4 Wang, Weiqiang
3 Abdesselam, Abdelmalek
3 Ališauskas, Sigitas
3 Crampé, Nicolas
3 Daumens, Michel
3 Eelbode, David
3 Ernst, Thomas
3 Fedoruk, Sergey
3 Frappat, Luc
3 Gade, R. M.
3 Ismail, Mourad El-Houssieny
3 Ivanov, Evgeniĭ Alekseevich
3 Jafarov, Elchin I.
3 Jagannathan, Ramaswamy
3 Karp, Dmitriĭ Borisovich
3 King, Roger C.
3 King, Ronald C.
3 Koelink, Erik
3 Kwon, Jae-Hoon
3 Patera, Jiří
3 Pitre, Sangita N.
3 Ram, Arun
3 Rao, K. Srinivasa
3 Rosengren, Hjalmar
3 Serganova, Vera V.
3 Sharp, Robert T.
3 Vidunas, Raimundas
2 Alev, Jacques
2 Area, Iván
2 Arik, Metin
2 Baseilhac, Pascal
2 Coulembier, Kevin
2 Cummins, Chris J.
2 Daoud, Mohammed
2 de Guise, Hubert
2 De Wit, David
2 Deleaval, Luc
2 Dewilde, Patrick M.
2 Dimitrov, Dimitar K.
2 Dumas, François
2 El Kamel, Jamel
2 Godoy, Eduardo Paciência
2 Green, Richard M.
2 Guejdi, Abdellah Oueld
2 Heidersdorf, Thorsten
2 Iliev, Plamen
2 Jday, Rim
2 Jellal, Ahmed
2 Kanakoglou, Konstantinos
2 Kimura, Taro
2 Klimyk, Anatoliy U.
2 Kujawa, Jonathan R.
2 Lam, Ngau
2 Lapointe, Luc
2 Lemay, Jean-Michel
2 Louck, James D.
2 Macfarlane, Alan J.
2 Martin, Xavier
2 Maslov, Viktor Pavlovich
2 Minnaert, Pierre
2 Mishev, Ilia D.
2 Nagiyev, Shakir M.
2 Nguyen Anh Ky
2 Penkov, Ivan B.
2 Prilepkina, Elena Gumarovna
2 Rahman, Mizan
2 Regniers, Gilles
...and 364 more Authors
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Cited in 106 Serials

118 Journal of Mathematical Physics
17 Journal of Algebra
15 Journal of Computational and Applied Mathematics
14 Communications in Mathematical Physics
13 Theoretical and Mathematical Physics
12 Communications in Algebra
12 Journal of High Energy Physics
8 Journal of Mathematical Analysis and Applications
8 The Ramanujan Journal
6 Modern Physics Letters A
6 International Journal of Theoretical Physics
6 Nuclear Physics. B
6 Advances in Mathematics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Letters in Mathematical Physics
5 Proceedings of the American Mathematical Society
5 Journal of Algebraic Combinatorics
4 International Journal of Modern Physics A
4 Computer Physics Communications
4 Transactions of the American Mathematical Society
4 Journal of Physics A: Mathematical and Theoretical
3 Rocky Mountain Journal of Mathematics
3 Journal of Pure and Applied Algebra
3 Proceedings of the London Mathematical Society. Third Series
3 Acta Applicandae Mathematicae
3 Selecta Mathematica. New Series
3 Mathematical Physics, Analysis and Geometry
3 Journal of Algebra and its Applications
3 International Journal of Geometric Methods in Modern Physics
2 International Journal of Modern Physics B
2 Computers & Mathematics with Applications
2 Israel Journal of Mathematics
2 Linear and Multilinear Algebra
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. A
2 Reports on Mathematical Physics
2 Mathematics of Computation
2 Journal of Approximation Theory
2 Journal of Soviet Mathematics
2 Mathematische Zeitschrift
2 Rendiconti del Seminario Matematico della Università di Padova
2 Studies in Applied Mathematics
2 Journal of the American Mathematical Society
2 Annals of Physics
2 Linear Algebra and its Applications
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Sciences (New York)
2 Advances in Applied Clifford Algebras
2 Integral Transforms and Special Functions
2 Transformation Groups
2 Algebras and Representation Theory
2 New Journal of Physics
2 Acta Mathematica Sinica. English Series
2 Journal of Statistical Mechanics: Theory and Experiment
2 Complex Analysis and Operator Theory
2 Journal of Pseudo-Differential Operators and Applications
2 Symmetry
1 Journal of Computational Physics
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1 Reviews in Mathematical Physics
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1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Mathematika
1 Results in Mathematics
1 European Journal of Combinatorics
1 Annals of Global Analysis and Geometry
1 Applied Numerical Mathematics
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1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 European Journal of Operational Research
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Knot Theory and its Ramifications
1 Topological Methods in Nonlinear Analysis
1 Algebra Colloquium
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 The Journal of Fourier Analysis and Applications
1 ELA. The Electronic Journal of Linear Algebra
1 Representation Theory
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Annales Henri Poincaré
1 Journal of Nonlinear Mathematical Physics
1 Algebraic & Geometric Topology
1 Portugaliae Mathematica. Nova Série
1 International Journal of Quantum Information
1 Oberwolfach Reports
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Tbilisi Mathematical Journal
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Cited in 45 Fields

215 Nonassociative rings and algebras (17-XX)
169 Quantum theory (81-XX)
96 Special functions (33-XX)
39 Topological groups, Lie groups (22-XX)
36 Combinatorics (05-XX)
26 Group theory and generalizations (20-XX)
22 Associative rings and algebras (16-XX)
22 Statistical mechanics, structure of matter (82-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
13 Global analysis, analysis on manifolds (58-XX)
11 Partial differential equations (35-XX)
11 Operator theory (47-XX)
9 Number theory (11-XX)
9 Relativity and gravitational theory (83-XX)
8 Functions of a complex variable (30-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Commutative algebra (13-XX)
6 Algebraic geometry (14-XX)
6 Ordinary differential equations (34-XX)
6 Numerical analysis (65-XX)
5 Category theory; homological algebra (18-XX)
5 Integral transforms, operational calculus (44-XX)
5 Differential geometry (53-XX)
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3 General and overarching topics; collections (00-XX)
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