Transformation Groups ( IF 0.4 ) Pub Date : 2020-06-03 , DOI: 10.1007/s00031-020-09571-7 DIMITAR GRANTCHAROV , IVAN PENKOV
We classify the simple bounded weight modules of the Lie algebras \( \mathfrak{sl}\left(\infty \right),\kern0.5em \mathfrak{o}\left(\infty \right) \) and \( \mathfrak{sp}\left(\infty \right) \), and compute their annihilators in \( U\left(\mathfrak{sl}\left(\infty \right)\right),\kern0.5em U\left(\mathfrak{o}\left(\infty \right)\right),\kern0.5em U\left(\mathfrak{sp}\left(\infty \right)\right) \), respectively.
中文翻译:
sl∞,o∞,sp∞$$ \ mathfrak {sl} \ left(\ infty \ right),\ kern0.5em \ mathfrak {o} \ left(\ infty \ right),\ kern0的简单绑定权重模块。 5em \ mathfrak {sp} \ left(\ infty \ right)$$
我们对李代数\(\ mathfrak {sl} \ left(\ infty \ right),\ kern0.5em \ mathfrak {o} \ left(\ infty \ right)\)和\(\ mathfrak {sp} \ left(\ infty \ right)\),并在\(U \ left(\ mathfrak {sl} \ left(\ infty \ right)\ right),\ kern0.5em U \ left中计算其an灭器(\ mathfrak {o} \ left(\ infty \ right)\ right),\ kern0.5em U \ left(\ mathfrak {sp} \ left(\ infty \ right)\ right)\)。