Quantum Torus Lie Algebra in the q-Deformed Kadomtsev-Petviashvili System

• 来源期刊: 代数集刊（英文版）
• 关键词: q-KP hierarchy Baker-Akhiezer function ghost symmetry quantum torus symmetry quantum torus constraint multi-component q-KP hierarchy
• 年，卷（期）: 2019,（4）
• 页码范围: 579-588
• 页数: 10页
• 语种: 英文
• DOI: 10.1142/S1005386719000439

摘要

Based on the W∞ symmetry of the q-deformed Kadomtsev-Petviashvili (q-KP) hierarchy,which is a q-deformation of the KP hierarchy,we construct the quantum torus symmetry of the q-KP hierarchy,which further leads to the quantum torus constraint of its tau function.Moreover,we generalize the system to a multi-component q-KP hierarchy that also has the well-known ghost symmetry.