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In [16], the second author initiated a program of constructing the so-called spin Hecke alge- bras associated to Weyl groups with nontrivial 2-cocycles, by introducing the spin
The boundary tridiagonal algebra reveals algebraic properties of the asymmetric open exclusion process which are deeply related to the Askey–Wilson polynomials and allow for the
the present application to phantom energy one might try to use the above mechanism to generate standard symmetry break by starting with a graded Lie algebra but using all vector
In the next Subsection we use free field resolutions (so called butterfly resolutions) of irre- ducible N = 2 Virasoro algebra modules to represent free field construction of
Since the category of modules with finite cycles over a local quasitriangular Hopf algebra is a braided tensor category, we may also find solutions of the Yang–Baxter equation in
Reshetikhin [ 7 ] had developed the theory of intertwining operators for quantum affine algebras and had shown that the matrix elements of intertwiners satisfy the
We show that the continuous Hochschild cohomology and the differential Hoch- schild cohomology of the Hida test algebra endowed with the normalized Wick product are the same..
Using this theorem and the ∗∗-version of the fusion procedure, we endow the space D ( N θ ) with a structure of the representation of the toroidal current algebra g ⊗ C [ t, u ]
