Quantization of Symplectic Dynamical r-Matrices and the Quantum Composition Formula

被引：0
|
作者：
Anton Alekseev
Damien Calaque
机构：
[1] Section de Mathématiques (UNIGE),Institut Camille Jordan
[2] Max Planck Institüt für Mathematik,undefined
[3] Université Claude Bernard Lyon 1,undefined
来源：
Communications in Mathematical Physics | 2007年 / 273卷
关键词：
Cochain Complex; Composition Formula; Invariant Quantization; Dynamical Twist; Invariant Open Subset;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we quantize symplectic dynamical r-matrices over a possibly nonabelian base. The proof is based on the fact that the existence of a star-product with a nice property (called strong invariance) is sufficient for the existence of a quantization. We also classify such quantizations and prove a quantum analogue of the classical composition formula for coboundary dynamical r-matrices.
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页码：119 / 136
页数：17
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