کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4668067 1345495 2006 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A universal dimension formula for complex simple Lie algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
A universal dimension formula for complex simple Lie algebras
چکیده انگلیسی

We present a universal formula for the dimension of the Cartan powers of the adjoint representation of a complex simple Lie algebra (i.e., a universal formula for the Hilbert functions of homogeneous complex contact manifolds), as well as several other universal formulas. These formulas generalize formulas of Vogel and Deligne and are given in terms of rational functions where both the numerator and denominator decompose into products of linear factors with integer coefficients. We discuss consequences of the formulas including a relation with Scorza varieties.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 201, Issue 2, 1 April 2006, Pages 379-407