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Projective oscillator representations of s l ( n + 1 | m ) and o s p ( m | n + 1 )
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-09-21 , DOI: 10.1080/00927872.2020.1819303 Ling Chen 1 , Xiaoping Xu 1, 2
中文翻译:
sl(n + 1 | m)和osp(m | n + 1)的投影振荡器表示。
更新日期:2020-09-21
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-09-21 , DOI: 10.1080/00927872.2020.1819303 Ling Chen 1 , Xiaoping Xu 1, 2
Affiliation
Abstract
Motivated from understanding higher-dimensional supersymmetric conformal field theory, we study various inhomogeneous oscillator representations of and on supersymmetric polynomial algebras and on spaces of supersymmetric exponential–polynomial functions, analogous to the projective oscillator representations of and . In particular, we find the explicit structures of certain Harish-Chandra modules and Whittaker-type modules of these Lie superalgebras.
中文翻译:
sl(n + 1 | m)和osp(m | n + 1)的投影振荡器表示。
摘要
基于对高维超对称共形场理论的理解,我们研究了各种不均匀的振子表示。 和 关于超对称多项式代数和超对称指数多项式函数的空间,类似于 和 。特别是,我们找到了这些李超代数的某些Harish-Chandra模和Whittaker型模的显式结构。