کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599285 1631128 2015 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Leonard triples having classical type
ترجمه فارسی عنوان
لئونارد سه برابر نوع کلاسیک دارد
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

Let KK denote an algebraically closed field of characteristic zero. Let V   denote a vector space over KK with finite positive dimension. By a Leonard triple on V we mean an ordered triple of linear transformations A  , A⁎A⁎, AεAε in End(V)End(V) such that for each B∈{A,A⁎,Aε}B∈{A,A⁎,Aε} there exists a basis for V with respect to which the matrix representing B is diagonal and the matrices representing the other two linear transformations are irreducible tridiagonal. In this paper, we define a family of Leonard triples said to have classical type   and show that these Leonard triples consist of two families: the Racah type and the Krawtchouk type. Moreover, we construct all Leonard triples that have classical type from the universal enveloping algebra U(sl2)U(sl2).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 467, 15 February 2015, Pages 202–225
نویسندگان
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