کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1896542 1044439 2011 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Minimal affinizations as projective objects
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Minimal affinizations as projective objects
چکیده انگلیسی

We prove that the specialization to q=1q=1 of a Kirillov–Reshetikhin module for an untwisted quantum affine algebra of classical type is projective in a suitable category. This yields a uniform character formula for the Kirillov–Reshetikhin modules. We conjecture that these results hold for specializations of minimal affinization with some restriction on the corresponding highest weight. We discuss the connection with the conjecture of Nakai and Nakanishi on qq-characters of minimal affinizations. We establish this conjecture in some special cases. This also leads us to conjecture an alternating sum formula for Jacobi–Trudi determinants.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 61, Issue 3, March 2011, Pages 594–609
نویسندگان
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