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：

暂无

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.

引用

页码：119 / 136

页数：17

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