کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4584053 | 1630465 | 2016 | 43 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On Category O over triangular generalized Weyl algebras
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
We analyze the BGG Category O over a large class of generalized Weyl algebras (henceforth termed GWAs). Given such a “triangular” GWA for which Category O decomposes into a direct sum of subcategories, we study in detail the homological properties of blocks with finitely many simples. As consequences, we show that the endomorphism algebra of a projective generator of such a block is quasi-hereditary, finite-dimensional, and graded Koszul. We also classify all tilting modules in the block, as well as all submodules of all projective and tilting modules. Finally, we present a novel connection between blocks of triangular GWAs and Young tableaux, which provides a combinatorial interpretation of morphisms and extensions between objects of the block.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 449, 1 March 2016, Pages 687-729
Journal: Journal of Algebra - Volume 449, 1 March 2016, Pages 687-729
نویسندگان
Apoorva Khare, Akaki Tikaradze,