Title :
Experiences in Computing Mesh Root Systems for Dynkin Diagrams Using Maple and C++
Author :
Felisiak, Mariusz ; Simson, Daniel
Author_Institution :
Fac. of Math. & Comput. Sci., Nicolaus Copernicus Univ., Torun, Poland
Abstract :
We show that the reduced mesh root systems and mesh geometries of roots for each of the simply-laced Dynkin diagrams can be classified by applying symbolic computer algebra computations and numeric algorithmic computations in Maple, C++ and Linux. Results of our computing experiences are presented in a table of Section 2 and in Section 6.
Keywords :
C++ language; Linux; mathematics computing; mesh generation; process algebra; symbol manipulation; C++ language; Linux; Maple; mesh geometries; mesh root system; numeric algorithmic computation; simply-laced Dynkin diagram; symbolic computer algebra computation; Geometry; Orbits; Polynomials; System-on-a-chip; Vectors; Zinc; C++; Coxeter polynomial; Dynkin diagram; Maple; Mesh geometries of roots; Quiver; Weyl group;
Conference_Titel :
Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2011 13th International Symposium on
Conference_Location :
Timisoara
Print_ISBN :
978-1-4673-0207-4
DOI :
10.1109/SYNASC.2011.41
