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6 papers · 2 filters
Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation
Laurent Delisle, Masoud Mosaddeghi
In this paper, we propose the study of the Boiti-Leon-Manna-Pempinelli equation from two point of views: the classical and supersymmetric cases. In the classical case, we construct…
The algebra of dual -1 Hahn polynomials and the Clebsch-Gordan problem of sl_{-1}(2)
Vincent X Genest, Luc Vinet, Alexei Zhedanov
The algebra H of the dual -1 Hahn polynomials is derived and shown to arise in the Clebsch-Gordan problem of sl_{-1}(2). The dual -1 Hahn polynomials are the bispectral polynomials…
Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions
Laurent Delisle, Veronique Hussin, Wojtek J. Zakrzewski
We present a general formula for the Gaussian curvature of curved holomorphic 2-spheres in Grassmannian manifolds G(m, n). We then show how to construct such solutions with constan…
Six types of functions of the Lie groups O(5) and G(2)
Lenka Háková, Jiří Hrivnák, Jiří Patera
New families of -functions are described in the context of the compact simple Lie groups O(5) and G(2). These functions of two real variables generalize the common exponential f…
Three variable exponential functions of the alternating group
Jiří Hrivnák, Jiří Patera, Severin Pošta
New class of special functions of three real variables, based on the alternating subgroup of the permutation group , is studied. These functions are used for Fourier-like expa…
On E-functions of Semisimple Lie Groups
Jiří Hrivnák, Iryna Kashuba, Jiří Patera
We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group as their expansions into series of special func…