کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4589182 1334212 2006 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Deformed universal characters for classical and affine algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Deformed universal characters for classical and affine algebras
چکیده انگلیسی

Creation operators are given for the three distinguished bases of the type BCD universal character ring of Koike and Terada yielding an elegant way of treating computations for all three types in a unified manner. Deformed versions of these operators create symmetric function bases whose expansion in the universal character basis, has polynomial coefficients in q with nonnegative integer coefficients. We conjecture that these polynomials are one-dimensional sums associated with crystal bases of finite-dimensional modules over quantized affine algebras for all nonexceptional affine types. These polynomials satisfy a Macdonald-type duality.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 299, Issue 1, 1 May 2006, Pages 33-61