Zobrazeno 1 - 10
of 630
pro vyhledávání: '"Lapointe L"'
Autor:
Ben Amor, L., Lachal, J., Menard, M.-L., Pelletier, W., Mac Dermott, V., Ben Amor, R., Sanchez, I., Lapointe, L., Bouchard, P., Rousseau, B., Ricard, N.
Publikováno v:
In L'Encéphale June 2023 49(3):211-218
The Bernstein vertex operators, which can be used to build recursively the Schur functions, are extended to superspace. Four families of super vertex operators are defined, corresponding to the four natural families of Schur functions in superspace.
Externí odkaz:
http://arxiv.org/abs/1802.01705
We present Pieri rules for the Jack polynomials in superspace. The coefficients in the Pieri rules are, except for an extra determinant, products of quotients of linear factors in $\alpha$ (expressed, as in the usual Jack polynomial case, in terms of
Externí odkaz:
http://arxiv.org/abs/1712.02416
Publikováno v:
Journal of Mathematical Physics 58, 033503 (2017)
The theory of symmetric functions has been extended to the case where each variable is paired with an anticommuting one. The resulting expressions, dubbed superpolynomials, provide the natural N=1 supersymmetric version of the classical bases of symm
Externí odkaz:
http://arxiv.org/abs/1511.05002
Autor:
Mueller, R. A., Desilets-Benoit, A., Gauthier, N., Lapointe, L., Bianchi, A. D., Maris, T., Zahn, R., Beyer, R., Green, E., Wosnitza, J., Yamani, Z., Kenzelmann, M.
Publikováno v:
Phys. Rev. B 92, 184432 (2015)
We present results of single crystal neutron diffraction experiments on the rare-earth, half-Heusler antiferromagnet (AFM) NdBiPt. This compound exhibits an AFM phase transition at $T_{\mathrm N}=2.18$~K with an ordered moment of $1.78(9)$~$\mu_{\mat
Externí odkaz:
http://arxiv.org/abs/1503.04487
Autor:
Müller, R. A., Lee-Hone, N. R., Lapointe, L., Ryan, D. H., Pereg-Barnea, T., Bianchi, A. D., Mozharivskyj, Y., Flacau, R.
Publikováno v:
Physical Review B 90, 041109(R) (2014)
A topological insulator is a state of matter which does not break any symmetry and is characterized by topological invariants, the integer expectation values of non-local operators. Antiferromagnetism on the other hand is a broken symmetry state in w
Externí odkaz:
http://arxiv.org/abs/1406.6663
The degenerate Whittaker vector of the superconformal algebra can be represented in terms of Jack superpolynomials. However, in this representation the norm of the Whittaker vector involves a scalar product with respect to which the Jack superpolynom
Externí odkaz:
http://arxiv.org/abs/1306.4227
Macdonald superpolynomials provide a remarkably rich generalization of the usual Macdonald polynomials. The starting point of this work is the observation of a previously unnoticed stability property of the Macdonald superpolynomials when the fermion
Externí odkaz:
http://arxiv.org/abs/1211.3186
Publikováno v:
Journal of Combinatorics 3 (2012), pages 495-561
A generalization of the Macdonald polynomials depending upon both commuting and anticommuting variables has been introduced recently. The construction relies on certain orthogonality and triangularity relations. Although many superpolynomials were co
Externí odkaz:
http://arxiv.org/abs/1202.3922
Publikováno v:
Letters in Mathematical Physics 101 (2012) 27-47
We introduce a conjectural construction for an extension to superspace of the Macdonald polynomials. The construction, which depends on certain orthogonality and triangularity relations, is tested for high degrees. We conjecture a simple form for the
Externí odkaz:
http://arxiv.org/abs/1112.5188