کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493318 | 1334235 | 2005 | 43 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Graded Lie superalgebras and super-replicable functions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this paper, we investigate the properties of super-replicable functions and their connections with graded Lie superalgebras. The Euler-Poincaré principle for the homology of graded Lie superalgebras yields a certain product identity called the generalized denominator identity. Applying the formal directional derivatives and the Laplacian, we derive a recursive supertrace formula for the graded Lie superalgebras with gradation-preserving endomorphisms. On the other hand, the super-replicable functions are characterized by certain product identities that have the same form as the generalized denominator identities for some graded Lie superalgebras. We derive many interesting relations among the Fourier coefficients of super-replicable functions and their super-replicates, and compute the supertraces of Monstrous Lie superalgebras associated with super-replicable functions. Finally, we study the properties of the hauptmoduln J1,N of Î1(N) for N=5,8,10,12, which are super-replicable functions, and determine the Fourier coefficients of their super-replicates J1,N(m)(m⩾1).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 285, Issue 2, 15 March 2005, Pages 531-573
Journal: Journal of Algebra - Volume 285, Issue 2, 15 March 2005, Pages 531-573
نویسندگان
Seok-Jin Kang, Chang Heon Kim, Ja Kyung Koo, Young-Tak Oh,