论文标题
量子双打类型和玻体化
Quantum doubles of Fock type and bosonization
论文作者
论文摘要
我们介绍了与参与和Hecke对称性R有关的创建和歼灭操作员的类似物，并以所谓的Fock类型的量子量对修饰的反射方程代数执行了骨气和费米语的实现。此外，我们引入了与来自正交或简单量子基团的Birman-Murakami-Wenzl对称性相关的Fock类型的量子双打类型，并展示了通过相应的琼脂化获得的代数（效率）。此外，我们将此方案应用于通过自发化过程由Hecke对称性R产生的当前编织。
We introduce analogs of creation and annihilation operators, related to involutive and Hecke symmetries R, and perform bosonic and fermionic realization of the modified Reflection Equation algebras in terms of the so-called Quantum Doubles of Fock type. Also, we introduce Quantum Doubles of Fock type, associated with Birman-Murakami-Wenzl symmetries coming from orthogonal or simplectic Quantum Groups and exhibit the algebras obtained by means of the corresponding bosonization (fermionization). Besides, we apply this scheme to current braidings arising from Hecke symmetries R via the Baxterization procedure.
