کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9518106 | 1345522 | 2005 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Monomial bases for quantum affine sln
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Monomial bases for quantum affine sln Monomial bases for quantum affine sln](/preview/png/9518106.png)
چکیده انگلیسی
We use the idea of generic extensions to investigate the correspondence between the isomorphism classes of nilpotent representations of a cyclic quiver and the orbits in the corresponding representation varieties. We endow the set M of such isoclasses with a monoid structure and identify the submonoid Mc generated by simple modules. On the other hand, we use the partial ordering on the orbits (i.e., the Bruhat-Chevalley type ordering) to induce a poset structure on M and describe the poset ideals generated by an element of the submonoid Mc in terms of the existence of a certain composition series of the corresponding module. As applications of these results, we generalize some results of Ringel involving special words to results with no restriction on words and obtain a systematic description of many monomial bases for any given quantum affine sln.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 191, Issue 2, 1 March 2005, Pages 276-304
Journal: Advances in Mathematics - Volume 191, Issue 2, 1 March 2005, Pages 276-304
نویسندگان
Bangming Deng, Jie Du,