论文标题
正交和符合性扬吉人的表示
Representations of orthogonal and symplectic Yangians
论文作者
论文摘要
正交类型和符号类型的延长的Yangian代数由Yang-Baxter RLL关系定义，涉及基本的R-Matrix，其$（n）$或$ sp（200万）$对称。我们研究以重量功能比为特征的最高权重表示。我们考虑线性和二次评估的代数关系以及对表示权重的结果条件。我们介绍了基础Clifford和Heisenberg代数的L-operators的表达方式，并表征了它们的代表。
Exteded Yangian algebras of orthogonal and symplectic types are defined by the Yang-Baxter RLL relation involving the fundamental R-matrix with $so(n)$ or $sp(2m)$ symmetry. We study representations of highest weight characterized by weight function ratios. We consider the algebra relations for the linear and the quadratic evaluations and the resulting conditions imposed on the representation weights. We present expressions of L-operators constructed on underlying Clifford and Heisenberg algebras and characterize their representations.
