کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8903614 | 1632747 | 2018 | 29 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Factorial characters of the classical Lie groups
ترجمه فارسی عنوان
کاراکترهای فاکتورهای گروه های دروغ کلاسیک
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
چکیده انگلیسی
Just as the definition of factorial Schur functions as a ratio of determinants allows one to show that they satisfy a Jacobi-Trudi-type identity and have an explicit combinatorial realisation in terms of semistandard tableaux, so we offer here definitions of factorial irreducible characters of the classical Lie groups as ratios of determinants that share these two features. These factorial characters are each specified by a partition, λ=(λ1,λ2,â¦,λn), and in each case a flagged Jacobi-Trudi identity is derived that expresses the factorial character as a determinant of corresponding factorial characters specified by one-part partitions, (m), for which we supply generating functions. These identities are established by manipulating determinants through the use of certain recurrence relations derived from these generating functions. The transitions to combinatorial realisations of the factorial characters in terms of tableaux are then established by means of non-intersecting lattice path models. The results apply to gl(n), so(2n+1), sp(2n) and o(2n), and are extended to the case of so(2n) by making use of newly defined factorial difference characters.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 70, May 2018, Pages 325-353
Journal: European Journal of Combinatorics - Volume 70, May 2018, Pages 325-353
نویسندگان
Angèle M. Foley, Ronald C. King,