DocumentCode
3543042
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
fYear
2011
fDate
26-29 Sept. 2011
Firstpage
83
Lastpage
86
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/SYNASC.2011.41
Filename
6169505
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