Zobrazeno 1 - 10
of 324
pro vyhledávání: '"Roche PH"'
Autor:
Badulescu, A. I., Roche, Ph.
We prove a full global Jacquet-Langlands correspondence between GL(n) and division algebras over global fields of non zero characteristic. If $D$ is a central division algebra of dimension $n^2$ over a global field $F$ of non zero characteristic, we
Externí odkaz:
http://arxiv.org/abs/1302.5289
For a finite dimensional simple Lie algebra g, the standard universal solution R(x) in $U_q(g)^{\otimes 2}$ of the Quantum Dynamical Yang--Baxter Equation can be built from the standard R--matrix and from the solution F(x) in $U_q(g)^{\otimes 2}$ of
Externí odkaz:
http://arxiv.org/abs/math/0512500
Autor:
Buffenoir, E., Roche, Ph.
We study the quantization of Chern-Simons theory with group $G$ coupled to dynamical sources. We first study the dynamics of Chern-Simons sources in the Hamiltonian framework. The gauge group of this system is reduced to the Cartan subgroup of $G.$ W
Externí odkaz:
http://arxiv.org/abs/hep-th/0505239
Publikováno v:
Class.Quant.Grav.21:5203-5220,2004
We study the Hamiltonian formulation of Plebanski theory in both the Euclidean and Lorentzian cases. A careful analysis of the constraints shows that the system is non regular, i.e. the rank of the Dirac matrix is non-constant on the non-reduced phas
Externí odkaz:
http://arxiv.org/abs/gr-qc/0404041
Autor:
Buffenoir, E., Roche, Ph.
We give a short summary of results and conjectures in the theory of dynamical quantum group related to the dynamical coboundary equation also known as IRF-Vertex transform. O.Babelon has shown that the dynamical twist $F(x)$ of $U_q(sl(2))$ is a dyna
Externí odkaz:
http://arxiv.org/abs/math/0306040
Autor:
Roche, Ph., Arnaudon, D.
Publikováno v:
Lett. Math. Phys. 17 (1989) 295
We give the complete set of irreducible representations of U(SU(2))_q when q is a m-th root of unity. In particular we show that their dimensions are less or equal to m. Some of them are not highest weight representations.
Comment: 9 pages, plai
Comment: 9 pages, plai
Externí odkaz:
http://arxiv.org/abs/math/0304136
Autor:
Buffenoir, E., Roche, Ph.
Publikováno v:
J.Math.Phys.41:7715-7751,2000
We study the tensor product of principal unitary representations of the quantum Lorentz group, prove a decomposition theorem and compute the associated intertwiners. We show that these intertwiners can be expressed in terms of complex continuations o
Externí odkaz:
http://arxiv.org/abs/math/9910147
Publikováno v:
Lett.Math.Phys. 44 (1998) 201-214
We construct a universal trigonometric solution of the Gervais-Neveu-Felder equation in the case of finite dimensional simple Lie algebras and finite dimensional contragredient simple Lie superalgebras.
Comment: 12 pages, LaTeX2e with packages v
Comment: 12 pages, LaTeX2e with packages v
Externí odkaz:
http://arxiv.org/abs/q-alg/9712037
Autor:
Buffenoir, E., Roche, Ph.
Publikováno v:
Commun.Math.Phys. 207 (1999) 499-555
This work begins with a review of complexification and realification of Hopf algebras. We emphasize the notion of multiplier Hopf algebras for the description of different classes of functions (compact supported, bounded, unbounded) on complex quantu
Externí odkaz:
http://arxiv.org/abs/q-alg/9710022
Autor:
Buffenoir, E., Roche, Ph.
We define and study the properties of observables associated to any link in $\Sigma\times {\bf R}$ (where $\Sigma$ is a compact surface) using the combinatorial quantization of hamiltonian Chern-Simons theory. These observables are traces of holonomi
Externí odkaz:
http://arxiv.org/abs/q-alg/9507001