کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5771783 1630422 2017 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A family of representations of the affine Lie superalgebra glm|nˆ(C)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A family of representations of the affine Lie superalgebra glm|nˆ(C)
چکیده انگلیسی
In this paper, we used the free fields of Wakimoto to construct a class of irreducible representations for the general linear Lie superalgebra glm|n(C). The structures of the representations over the general linear Lie superalgebra and the special linear Lie superalgebra are studied in this paper. Then we extend the construction to the affine Kac-Moody Lie superalgebra glm|nˆ(C) on the tensor product of a polynomial algebra and an exterior algebra with infinitely many variables involving one parameter μ, and we also obtain the necessary and sufficient condition for the representations to be irreducible. In fact, the representation is irreducible if and only if the parameter μ is nonzero.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 492, 15 December 2017, Pages 371-392
نویسندگان
, , ,