Results 11 to 20 of about 82 (65)

Parametrization of semi-dynamical quantum reflection algebra

, 2007
LaTeX, 24 pagesInternational audienceWe construct sets of structure matrices for the semi-dynamical reflection algebra, solving the Yang-Baxter type consistency equations extended by the action of an automorphism of the auxiliary space.
Avan, Jean, Rollet, Geneviève
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Lax pair and super-Yangian symmetry of the nonlinear super-Schrodinger equation [PDF]

, 2003
We consider a version of the nonlinear Schrodinger equation with M bosons and N fermions. We first solve the classical and quantum versions of this equation, using a super-Zamolodchikov-Faddeev (ZF) algebra. Then we prove that the hierarchy associated to
Ragoucy, E., Caudrelier, V., E. Ragoucy, V. Caudrelier   +3 more
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Central extensions of classical and quantum q-Viraroso algebras

, 1999
International audienceWe investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra A_{q,p}[sl(N)_c]. After establishing the expressions of the cocycle conditions, we solve
J. Avan, Avan, Jean, Rossi, M., M. Rossi, Frappat, L., Sorba, P., L. Frappat, P. Sorba   +7 more
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Inductive constructions for Lie bialgebras and Hopf algebras

, 2006
In recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Hopf algebras, including the quantized enveloping algebras.
Majid, Shahn, Grabowski, Jan E., Grabowski, Jan E, Grabowski, Jan   +3 more
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Centralizers in Free Associative Algebras and Generic Matrices

, 2019
In this short note, we complete a proof of Bergman's centralizer theorem for the free associative algebra using generic matrices approach based on our previous work Alexei Kanel Belov, Farrokh Razavinia, Wenchao Zhang, "Bergman's Centralizer Theorem and ...
Zhang, Wenchao, Kanel-Belov, Alexei, Razavinia, Farrokh   +2 more
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Non-commutative Hopf algebra of formal diffeomorphisms

, 2006
33 pagesThe subject of this paper are two Hopf algebras which are the non-commutative analogues of two different groups of formal power series. The first group is the set of invertible series with the multiplication, while the second group is the set of ...
Frabetti, Alessandra, Krattenthaler, Christian, Brouder, Christian   +2 more
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Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]

, 2000
This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare, Tania Clare Dunning, Dunning, T.C.   +2 more
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The planar algebra of a coaction

, 2005
39 pagesWe study actions of ``compact quantum groups\'\' on ``finite quantum spaces\'\'. According to Woronowicz and to general $\\c^*$-algebra philosophy these correspond to certain coactions $v:A\\to A\\otimes H$. Here $A$ is a finite dimensional $\\c^*
Banica, Teodor
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Drinfeld coproduct, quantum fusion tensor category and applications

, 2007
39 pagesInternational audienceThe class of quantum affinizations includes quantum affine algebras and quantum toroidal algebras. In general they have no Hopf algebra structure, but have a "coproduct" (the Drinfeld coproduct) which does not produce tensor
Hernandez, David
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Complex structure on quantum-braided planes [PDF]

We construct a quantum Dolbeault double complex ⊕p,qΩp,q on the quantum plane C2q. This solves the long-standing problem that the standard differential calculus on the quantum plane is not a ∗-calculus, by embedding it as the holomorphic part of a ...
Majid, S, Beggs, E
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