Some associative algebras related to U (g) and twisted generalized Weyl algebras

被引：16
|
作者：
Mazorchuk, V
Ponomarenko, M
Turowska, L
机构：
[1] Kyiv Taras Shevchenko Univ, Dept Mech & Math, UA-01033 Kiev, Ukraine
[2] Chalmers Univ Technol, S-41296 Gothenburg, Sweden
来源：
MATHEMATICA SCANDINAVICA | 2003年 / 92卷 / 01期
关键词：
D O I：
10.7146/math.scand.a-14392
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that both Mickelsson step algebras and Orthogonal Gelfand-Zetlin algebras are twisted generalized Weyl algebras. Using an analogue of the Shapovalov form we construct all weight simple graded modules and some classes of simple weight modules over a twisted generalized Weyl algebra, improving the results from [6], where a particular class of algebras was considered and only special modules were classified.
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页码：5 / 30
页数：26
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