کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599354 1631132 2014 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quasi-Whittaker modules for the Schrödinger algebra
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Quasi-Whittaker modules for the Schrödinger algebra
چکیده انگلیسی

In this paper, we construct a class of new modules for the Schrödinger algebra SS, called quasi-Whittaker modules. Different from [30], the quasi-Whittaker module is not induced by the Borel subalgebra of the Schrödinger algebra related with the triangular decomposition, but by its Heisenberg subalgebra HH. We prove that, a simple SS-module V is a quasi-Whittaker module if and only if V   is a locally finite HH-module. Furthermore, we classify simple quasi-Whittaker modules by central character of U(S)U(S) and their quasi-Whittaker functions. Finally, we characterize arbitrary quasi-Whittaker modules.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 463, 15 December 2014, Pages 16–32
نویسندگان
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