Results 21 to 30 of about 5,675 (37)
Vertex-IRF transformations and quantization of dynamical r-matrices
, 2001 Motivated by the correspondence between the vertex and IRF models in statistical mechanics, we define and study a notion of vertex-IRF transformation for dynamical twists that generalizes a usual gauge transformation. We use vertex-IRF transformations to
Etingof, Pavel, Nikshych, Dmitri
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Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra
, 2012 We rederive a popular nonsemisimple fusion algebra in the braided context, from a Nichols algebra. Together with the decomposition that we find for the product of simple Yetter-Drinfeld modules, this strongly suggests that the relevant Nichols algebra ...
A. Bruguières +56 more
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On deformation theory of quantum vertex algebras [PDF]
, 2005 We study an algebraic deformation problem which captures the data of the general deformation problem for a quantum vertex algebra. We derive a system of coupled equations which is the counterpart of the Maurer-Cartan equation on the usual Hochschild ...
Grosse, Harald, Schlesinger, Karl-Georg
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Covariant q-differential operators and unitary highest weight representations for U_q su(n,n)
, 2005 We investigate a one-parameter family of quantum Harish-Chandra modules of U_q sl(2n). This family is an analog of the holomorphic discrete series of representations of the group SU(n,n) for the quantum group U_q su(n, n). We introduce a q-analog of "the
Chari V. +11 more
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Drinfeld Functor and Finite-Dimensional Representations of Yangian
, 1998 We extend the results of Drinfeld on Drinfeld functor to the case l>n. We present the character of finite-dimensional representations of the Yangian Y(sl_n) in terms of the Kazhdan-Lusztig polynomials as a consequence.Comment: Latex2e, 17pages, corrected
Arakawa, Tomoyuki
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Bicategories for boundary conditions and for surface defects in 3-d TFT
, 2013 We analyze topological boundary conditions and topological surface defects in three-dimensional topological field theories of Reshetikhin-Turaev type based on arbitrary modular tensor categories. Boundary conditions are described by central functors that
A. Joyal +35 more
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Classification of the solutions of constant rational semi-dynamical reflection equations
, 2005 We propose a classification of the solutions K to the semi-dynamical reflection equation with constant rational structure matrices associated to rational scalar Ruijsenaars-Schneider model.
Avan, Jean, Rollet, Genevieve
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Topological Hopf algebras, quantum groups and deformation quantization
, 2003 After a presentation of the context and a brief reminder of deformation quantization, we indicate how the introduction of natural topological vector space topologies on Hopf algebras associated with Poisson Lie groups, Lie bialgebras and their doubles ...
Bonneau, Philippe, Sternheimer, Daniel
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Some of the next articles are maybe not open access.
Level -1/2 Realization of Quantum N-Toroidal Algebra in Type Cn
Algebra Colloquium, 2022Naihuan Jing, Honglian Zhang
exaly