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On centralizer algebras for spin representations
centralizer algebras spin representations Quantum Algebra
2011/9/16
Abstract: We give a presentation of the centralizer algebras for tensor products of spinor representations of quantum groups via generators and relations. In the even-dimensional case, this can be des...
Baxter operators for arbitrary spin II
Baxter operators arbitrary spin II High Energy Physics - Theory Quantum Algebra
2011/10/10
Abstract: This paper presents the second part of our study devoted to the construction of Baxter operators for the homogeneous closed XXX spin chain with the quantum space carrying infinite or finite-...
4-dimensional Spin-foam Model with Quantum Lorentz Group
Quantum Group Loop Quantum Gravity Spin-foam Model
2011/3/3
We study the quantum group deformation of the Lorentzian EPRL spin-foam model. The construction
uses the harmonic analysis on the quantum Lorentz group. We show that the quantum group spin-foam model...
Study of the Spin-weighted Spheroidal Equation in the Case of s=1
the Spin-weighted Spheroidal Equation the Case of s=1
2010/11/23
We present series study of using the method of super-symmetric quantum mechanics(SUSYQM) solving the spin-weighted spheroidal wave equation. In this paper, we obtain the first four terms of super-pot...
Let $X$ be a closed, simply-connected, smooth, spin 4-manifold whose intersection form is isomorphic to $n(-E_8)\bigoplus mH$, where $H$ is the hyperbolic form.
A Representation of the Lorentz Spin Group and its Application
Lorentz spin group representation Yang--Mills equation
2007/12/11
For an integer $m \geq 4$, we define a set of $ 2^{[\frac m2]}\times 2^{[\frac m2]}$ matrices $\gamma_j(m), (j=0,1,\ldots,m-1)$ which satisfy $ \gamma_j(m)\gamma_k(m)+\gamma_k(m)\gamma_j(m)=2\eta_{jk}...
The exterior algebra and `Spin' of an orthogonal g-module
exterior algebra Spin' an orthogonal g-module
2010/11/1
A well-known result of Kostant gives a description of the G-module structure for the exterior algebra of Lie algebra $\frak g$. We give a generalization of this result for the isotropy representation...