Results 61 to 70 of about 622,832 (86)
A matrix model for quantum SL_2 [PDF]
arXiv, 2000 We describe a topological ribbon Hopf algebra whose elements are sequences of matrices. The algebra is a quantum version of U(sl_2).
arxiv
An Integral PBW Basis of the Quantum Affine Algebra of Type A$_{2}^{(2)}$ [PDF]
arXiv, 2001 We construct an integral PBW basis and an integral crystal basis of the quantum affine algebra of type A$_{2}^{(2)}$.
arxiv
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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Quantum groups: from Kulish-Reshetikhin discovery to classification [PDF]
arXiv, 2015 The aim of this paper is to provide an overview of the results about classification of quantum groups that were obtained in arXiv:1303.4046 [math.QA] and arXiv:1502.00403 [math.QA].
arxiv
Vertex Lie algebras, vertex Poisson algebras and vertex algebras [PDF]
arXiv, 2001 The notions of vertex Lie algebra and vertex Poisson algebra are presented and connections among vertex Lie algebras, vertex Poisson algebras and vertex algebras are discussed.
arxiv
The FRT-dual U(O(G_q) \bowtie O(G_q)) and the q-Lorentz Algebra [PDF]
arXiv, 2001 Withdrawn due to a gap in the proof of the main result.
arxiv
On the classification of finite dimensional irreducible modules for affine BMW algebras [PDF]
arXiv, 2012 In this paper, we classify the finite dimensional irreducible modules for affine BMW algebra over an algebraically closed field with arbitrary characteristic.
arxiv
On VOAs Associated to Jordan Algebras of Type $C$ [PDF]
arXiv, 2018 In this article, we construct certain universal VOAs whose Greiss algebras are type C Jordan algebras. We also prove the corresponding simplicity result.
arxiv
Cosovereign Hopf algebras [PDF]
arXiv, 1999 In this paper we define and study the algebraic conterpart of sovereign monoidal categories : cosovereign Hopf algebras.
arxiv
, 2007 We study the Jacobi-Trudi-type determinant which is conjectured to be the q-character of a certain, in many cases irreducible, finite-dimensional representation of the quantum affine algebra of type C_n. Like the D_n case studied by the authors recently,
Nakai, Wakako, Nakanishi, Tomoki
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