Geodesic
Double Affine Hecke Algebra in Logarithmic Conformal Field Theory
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 1, pp. 68-79

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We construct a representation of the double affine Hecke algebra. The symmetrization of this representation coincides with the center of the quantum group $\overline{\mathscr{U}}_{\mathfrak{q}} s\ell(2)$ and, by Kazhdan–Lusztig duality, with the Verlinde algebra of the $(1,p)$-model of the logarithmic conformal field theory.
Keywords: double affine Hecke algebra, quantum group, conformal field theory. 
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     author = {G. S. Mutafyan and I. Yu. Tipunin},
     title = {Double {Affine} {Hecke} {Algebra} in {Logarithmic} {Conformal} {Field} {Theory}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {68--79},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a5/}
}
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G. S. Mutafyan; I. Yu. Tipunin. Double Affine Hecke Algebra in Logarithmic Conformal Field Theory. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 1, pp. 68-79. http://geodesic.mathdoc.fr/item/FAA_2010_44_1_a5/