A simpler definition for a class of 2-parameter quantum groups associated to semisimple Lie algebras is given in terms of Euler form.Their positive parts turn out to be 2-cocycle deformations of each other under some ...A simpler definition for a class of 2-parameter quantum groups associated to semisimple Lie algebras is given in terms of Euler form.Their positive parts turn out to be 2-cocycle deformations of each other under some conditions.An operator realization of the positive part is given.展开更多
基金the National Natural Science Foundation of China(Grant Nos.10431040,10728102)the TRAPOYT,the FUDP and the Priority Academic Discipline from the MOE of China,the SRSTP from the STCSM,the Shanghai Priority Academic Discipline from the SMEC
文摘A simpler definition for a class of 2-parameter quantum groups associated to semisimple Lie algebras is given in terms of Euler form.Their positive parts turn out to be 2-cocycle deformations of each other under some conditions.An operator realization of the positive part is given.
基金国家自然科学基金项目(42362023)陕西省教育厅青年创新团队项目(24JP217,22RCYPJB0103)+2 种基金榆林市青年科技新星项目(2024-KJZG-QNXX-007)陕西省科技厅项目(2025JC-YBQN-456,2025JC-YBMS-452)中国科学院洁净能源创新研究院-榆林学院联合基金项目(YLU-DNL Fund 2022012)。
