Hendrik de Bie, 1879-1955

Autor: Groot-van Leeuwen, L.E. de, Boven, M.W. van, Brood, P.

Publikováno v: Boven, M.W. van; Brood, P. (ed.), Tweehonderd jaar rechters, 78-81. Hilversum : Verloren
STARTPAGE=78;ENDPAGE=81;TITLE=Boven, M.W. van; Brood, P. (ed.), Tweehonderd jaar rechters

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::16097cedba4095eff6dee85e5166138d
http://hdl.handle.net/2066/93045

A SUPERINTEGRABLE MODEL WITH REFLECTIONS ON S^3 AND THE RANK TWO BANNAI-ITO ALGEBRA

Autor: Hendrik De Bie, Vincent Xavier Genest, Jean-Michel Lemay, Luc Vinet

Publikováno v: Acta Polytechnica, Vol 56, Iss 3, Pp 166-172 (2016)

A quantum superintegrable model with reflections on the three-sphere is presented. Its symmetry algebra is identified with the rank-two Bannai-Ito algebra. It is shown that the Hamiltonian of the system can be constructed from the tensor product of f

Externí odkaz: https://doaj.org/article/c20ded7dbef44a33a278c67370f429a9

The Racah algebra: An overview and recent results

Autor: Luc Vinet, Hendrik De Bie, Plamen Iliev, Wouter van de Vijver

Publikováno v: Lie Groups, Number Theory, and Vertex Algebras. :3-20

Recent results on the Racah algebra $\mathcal{R}_n$ of rank $n - 2$ are reviewed. $\mathcal{R}_n$ is defined in terms of generators and relations and sits in the centralizer of the diagonal action of $\mathfrak{su}(1,1)$ in $\mathcal{U}(\mathfrak{su}

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::483f08995a80027263cca2db643efce7
https://doi.org/10.1090/conm/768/15450

Representations of the Lie Superalgebra osp(1|2n) with Polynomial Bases

Autor: Hendrik De Bie, Asmus K. Bisbo, Joris Van der Jeugt

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications.

We study a particular class of infinite-dimensional representations of $\mathfrak{osp}(1|2n)$. These representations $L_n(p)$ are characterized by a positive integer $p$, and are the lowest component in the $p$-fold tensor product of the metaplectic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1160d77bf1118ff051d845e05ec0ac85
https://doi.org/10.3842/sigma.2021.031

The q‐Bannai–Ito algebra and multivariate (−q)‐Racah and Bannai–Ito polynomials

Autor: Hadewijch De Clercq, Hendrik De Bie

Publikováno v: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

The Gasper and Rahman multivariate $(-q)$-Racah polynomials appear as connection coefficients between bases diagonalizing different abelian subalgebras of the recently defined higher rank $q$-Bannai-Ito algebra $\mathcal{A}_n^q$. Lifting the action o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e32cbadf30142894971311b7aa1ba69a
https://biblio.ugent.be/publication/8758251