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1

A short proof of the integrality of the Macdonald $(q,t)$ -Kostka coefficients

Lapointe, Luc, Vinet, Luc

Journal:

Duke Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 634 KB

english, 1998

2

q-Orthogonal polynomials and the oscillator quantum group

Roberto Floreanini, Luc Vinet

Journal:

Letters in Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 371 KB

english, 1991

3

Dynamical supersymmetry of the magnetic monopole and the 1/r2-potential

Eric D'Hoker, Luc Vinet

Journal:

Communications in Mathematical Physics

Year:

1985

Language:

english

File:

PDF, 2.11 MB

english, 1985

4

Spectrum (super-) symmetries of particles in a Coulomb potential

Eric D'Hoker, Luc Vinet

Journal:

Nuclear Physics B

Year:

1985

Language:

english

File:

PDF, 944 KB

english, 1985

5

The metaplectic representation of su q (1,1) and the q ‐Gegenbauer polynomials

Floreanini, Roberto, Vinet, Luc

Journal:

Journal of Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 564 KB

english, 1992

6

Superspace formulation of the dynamical symmetries of the Dirac magnetic monopole

Eric D'hoker, Luc Vinet

Journal:

Letters in Mathematical Physics

Year:

1984

Language:

english

File:

PDF, 310 KB

english, 1984

7

On the defining relations of quantum superalgebras

Roberto Floreanini, Dimitry A. Leites, Luc Vinet

Journal:

Letters in Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 206 KB

english, 1991

8

Rodrigues Formulas for the Macdonald Polynomials

Luc Lapointe, Luc Vinet

Journal:

Advances in Mathematics

Year:

1997

Language:

english

File:

PDF, 368 KB

english, 1997

9

Automorphisms of the q-oscillator algebra and basic orthogonal polynomials

Roberto Floreanini, Luc Vinet

Journal:

Physics Letters A

Year:

1993

Language:

english

File:

PDF, 363 KB

english, 1993

10

A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials

Luc Vinet, Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 213 KB

english, 2004

11

Supersymmetry of the Pauli equation in the presence of a magnetic monopole

Eric D'Hoker, Luc Vinet

Journal:

Physics Letters B

Year:

1984

Language:

english

File:

PDF, 306 KB

english, 1984

12

q-conformal quantum mechanics and q-special functions

Roberto Floreanini, Luc Vinet

Journal:

Physics Letters B

Year:

1992

Language:

english

File:

PDF, 215 KB

english, 1992

13

Dunkl shift operators and Bannai–Ito polynomials

Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 245 KB

english, 2012

14

q-oscillator realizations of the metaplectic representation of quantum osp(3,2)

D’Hoker, Eric, Floreanini, Roberto, Vinet, Luc

Journal:

Journal of Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 583 KB

english, 1991

15

The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states

Genest, Vincent X, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 314 KB

english, 2013

16

The singular and the 2:1 anisotropic Dunkl oscillators in the plane

Genest, Vincent X, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 255 KB

english, 2013

17

Invariant Berry connections

Journal:

Physical Review D

Year:

1988

Language:

english

File:

PDF, 139 KB

english, 1988

18

Symmetries of semiclassical gravity in two dimensions

Floreanini, Roberto, Lina, Jean-Marc, Vinet, Luc, Winternitz, Pavel

Journal:

Physical Review D

Year:

1990

Language:

english

File:

PDF, 164 KB

english, 1990

19

Jordan algebras and orthogonal polynomials

Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 354 KB

english, 2011

20

Constants of Motion for a Spin-½ Particle in the Field of a Dyon

D'Hoker, Eric, Vinet, Luc

Journal:

Physical Review Letters

Year:

1985

Language:

english

File:

PDF, 514 KB

english, 1985

21

Automorphisms of the Heisenberg–Weyl algebra and d-orthogonal polynomials

Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 426 KB

english, 2009

22

Generalized Little q-Jacobi Polynomials as Eigensolutions of Higher-Order q-Difference Operators

Luc Vinet and Alexei Zhedanov

Journal:

Proceedings of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 267 KB

english, 2001

23

\(q\)-Rotations and Krawtchouk polynomials

Genest, Vincent X., Post, Sarah, Vinet, Luc, Yu, Guo-Fu, Zhedanov, Alexei

Journal:

The Ramanujan Journal

Year:

2016

Language:

english

File:

PDF, 293 KB

english, 2016

24

The equitable Racah algebra from three $\mathfrak {su}(1,1)$ algebras

Genest, Vincent X, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2014

Language:

english

File:

PDF, 189 KB

english, 2014

25

A limit $q=-1$ for the big $q$-Jacobi polynomials

Vinet, Luc, Zhedanov, Alexei

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 243 KB

english, 2012

26

A Dirac–Dunkl Equation onS2and the Bannai–Ito Algebra

De Bie, Hendrik, Genest, Vincent X., Vinet, Luc

Journal:

Communications in Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 535 KB

english, 2016

27

The Quantum Superalgebra\({\mathfrak{osp}_{q}(1|2)}\)and aq-Generalization of the Bannai–Ito Polynomials

Genest, Vincent X., Vinet, Luc, Zhedanov, Alexei

Journal:

Communications in Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 529 KB

english, 2016

28

An algebraic interpretation of the multivariateq-Krawtchouk polynomials

Genest, Vincent X., Post, Sarah, Vinet, Luc

Journal:

The Ramanujan Journal

Year:

2017

Language:

english

File:

PDF, 641 KB

english, 2017

29

The Racah algebra and superintegrable models

Genest, Vincent X, Vinet, Luc, Zhedanov, Alexei

Journal:

Journal of Physics Conference Series

Year:

2014

Language:

english

File:

PDF, 714 KB

english, 2014

30

The Z

De Bie, Hendrik, Genest, Vincent X., Vinet, Luc

Journal:

Advances in Mathematics

Year:

2016

Language:

english

File:

PDF, 464 KB

english, 2016

31

The thermo-mechano-chemical twin-screw reactor, a new perspective for the biorefinery of sunflower whole plant: aqueous extraction of oil and other biopolymers, and production of biodegradable fiberboards from cake

Evon, Philippe, Vandenbossche, Virginie, Labonne, Laurent, Vinet, Justine, Pontalier, Pierre-Yves, Rigal, Luc

Journal:

Year:

2016

File:

PDF, 630 KB

2016

32

Perfect state transfer on weighted graphs of the Johnson scheme

Vinet, Luc, Zhan, Hanmeng

Journal:

Letters in Mathematical Physics

Year:

2020

File:

PDF, 384 KB

2020

33

Classical solutions to topologically massive Yang-Mills theory

Eric D'Hoker, Luc Vinet

Journal:

Annals of Physics

Year:

1985

Language:

english

File:

PDF, 1.39 MB

english, 1985

34

q-difference realizations of quantum algebras

Roberto Floreanini, Luc Vinet

Journal:

Physics Letters B

Year:

1993

Language:

english

File:

PDF, 304 KB

english, 1993

35

Spectrum-generating algebras for the supersymmetric Morse and Pöschl-Teller Hamiltonians

Bernard Piette, Luc Vinet

Journal:

Physics Letters A

Year:

1987

Language:

english

File:

PDF, 240 KB

english, 1987

36

Dynamical parasuperalgebras and harmonic oscillators

Stéphane Durand, Luc Vinet

Journal:

Physics Letters A

Year:

1990

Language:

english

File:

PDF, 465 KB

english, 1990

37

Using quantum algebras in q-special function theory

Roberto Floreanini, Luc Vinet

Journal:

Physics Letters A

Year:

1992

Language:

english

File:

PDF, 507 KB

english, 1992

38

q-gamma and q-beta functions in quantum algebra representation theory

Roberto Floreanini, Luc Vinet

Journal:

Journal of Computational and Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 472 KB

english, 1996

39

Supersymmetry in the non-commutative plane

Luc Lapointe, Hideaki Ujino, Luc Vinet

Journal:

Annals of Physics

Year:

2004

Language:

english

File:

PDF, 242 KB

english, 2004

40

Invariant physical fields with gauge freedom

Yvan Saint-Aubin, Luc Vinet, Joël Doneux

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

1982

Language:

english

File:

PDF, 241 KB

english, 1982

41

Generalized Bochner theorem: Characterization of the Askey–Wilson polynomials

Luc Vinet, Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 184 KB

english, 2008

42

The dynamical algebra of the three-body Calogero model

Roberto Floreanini, Luc Lapointe, Luc Vinet

Journal:

Physics Letters B

Year:

1998

Language:

english

File:

PDF, 73 KB

english, 1998

43

Spectral transformations of the Laurent biorthogonal polynomials. I. q-Appel polynomials

Luc Vinet, Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 123 KB

english, 2001

44

A method to study the Krall and q-Krall polynomials

Luc Vinet, Oksana Yermolayeva, Alexei Zhedanov

Journal:

Journal of Computational and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 103 KB

english, 2001

45

Symmetries of massless Dirac equations and supersymmetric quantum mechanics

Stephane Durand, Jean-Marc Lina, Luc Vinet

Journal:

Letters in Mathematical Physics

Year:

1989

Language:

english

File:

PDF, 200 KB

english, 1989

46

Hidden symmetries and accidental degeneracy for a spin-1/2 particle in the field of a dyon

Eric D'hoker, Luc Vinet

Journal:

Letters in Mathematical Physics

Year:

1986

Language:

english

File:

PDF, 171 KB

english, 1986

47

Braid group action on theq-Weyl algebra

Roberto Floreanini, Luc Vinet

Journal:

Letters in Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 257 KB

english, 1991

48

On a bosonic-parafermionic realization of(U_q (widehat{sl(2)}))

A. Hamid Bougourzi, Luc Vinet

Journal:

Letters in Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 270 KB

english, 1996

49

Symmetries of the heat equation on the lattice

Roberto Floreanini, Javier Negro, Luis Miguel Nieto, Luc Vinet

Journal:

Letters in Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 182 KB

english, 1996

50

On the quantum group and quantum algebra approach toq-special functions

Roberto Floreanini, Luc Vinet

Journal:

Letters in Mathematical Physics

Year:

1993

Language:

english

File:

PDF, 505 KB

english, 1993