کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4668138 1345499 2007 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Logarithmic Frobenius structures and Coxeter discriminants
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Logarithmic Frobenius structures and Coxeter discriminants
چکیده انگلیسی

We consider a class of solutions of the WDVV equation related to the special systems of covectors (called ∨-systems) and show that the corresponding logarithmic Frobenius structures can be naturally restricted to any intersection of the corresponding hyperplanes. For the Coxeter arrangements the corresponding structures are shown to be almost dual in Dubrovin's sense to the Frobenius structures on the strata in the discriminants discussed by Strachan. For the classical Coxeter root systems this leads to the families of ∨-systems from the earlier work by Chalykh and Veselov. For the exceptional Coxeter root systems we give the complete list of the corresponding ∨-systems. We present also some new families of ∨-systems, which cannot be obtained in such a way from the Coxeter root systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 212, Issue 1, 20 June 2007, Pages 143-162