AI 中文总结
本文研究截断移位iYangians的权模，引入oKLRW代数、KLR iYangians等，建立其表示性质，并证明其权模与区间oKLRW代数幂零模的等价关系。
AI 中文摘要
截断移位iYangians是一类代数，预期可量子化仿射Grassmannian islices的某些分量。我们引入带对合的箭图对应的orientifold KLRW（oKLRW）代数，建立其忠实多项式表示与图基；还利用双反射KLR图定义KLR iYangians，构造iGKLO同态的图实现。对整数参数，引入区间oKLRW代数，证明截断移位iYangians的整数权模与对应区间oKLRW代数的幂零模等价。
英文摘要
Truncated shifted iYangians are a family of algebras expected to quantize certain components of affine Grassmannian islices. We introduce orientifold KLRW (oKLRW) algebras associated with quivers with involution and establish their faithful polynomial representations and diagrammatic bases. We also define KLR iYangians using double reflective KLR diagrams and construct diagrammatic realizations of the iGKLO homomorphisms. For integral parameters, we introduce interval oKLRW algebras and prove an equivalence between integral weight modules over truncated shifted iYangians and nilpotent modules over the corresponding interval oKLRW algebras.
Comments51 pages, comments welcome!
