Database of the estimations of the numbers of simplices of triangulation of some classical Lie groups - Open Research Data - MOST Wiedzy

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Database of the estimations of the numbers of simplices of triangulation of some classical Lie groups

Description

It is know that any smooth manifold can be triangulated. The number of simplices of triangulation of a given manifold depends on its topological and combinatorial structure. The data consists of the lower bounds for the numbers of simplices of each dimension of any triangulation of classical Lie groups U(n), SU(n), Sp(n), and SO(n) for n up to 25. Each file devotes to one group, and gives one integer vector {f0, f1, ... , fd} of length d+1, where d is the dimension of the Lie group, and each fj is a lower bound for the number of simplices of dimension j. The files are in the form of plain text with filename: type of Lie group + index n + ".txt". The theoretical arguments and algorithm for computing these data are contained in the paper: Haibao Duan, Wacław Marzantowicz, Xuezhi Zhao, On the number of simplices required to triangulate a Lie group, Topology and its applications, to appear (see also arXiv:2003.13125).

Dataset file

g4.zip
1.3MB, MD5 2395e0a64b8b55fda61bde29307c5811-1, downloads: 2

Details

Year of publication:
2020
Dataset language:
English
Fields of science:
  • Mathematics (Natural sciences)
License:
CC BY
Attribution
DOI:
10.34808/14t7-n323 open in new tab
Source of financing:
Verified by:
Gdańsk University of Technology

Keywords

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