Singular

7.10.2 fpalgebras_lib

Library:

fpalgebras.lib

Purpose:

Definitions of some finitely presented algebras and groups (Letterplace)

Authors:

Karim Abou Zeid, karim.abou.zeid at rwth-aachen.de
Viktor Levandovskyy, viktor.levandovskyy at math.rwth-aachen.de
Grischa Studzinski, grischa.studzinski at rwth-aachen.de

Support: Project II.6 in the transregional collaborative research centre SFB-TRR 195 'Symbolic Tools in Mathematics and their Application' of the German DFG

Overview:

Generation of various algebras, including group algebras of finitely presented groups in the Letterplace ring. FPA stands for finitely presented algebra.

Procedures:

7.10.2.1 operatorAlgebra		description of some common algebras of operators
7.10.2.2 serreRelations		compute the homogeneous part of Serre's relations associated to a generalized Cartan matrix A
7.10.2.3 fullSerreRelations		compute the ideal of all Serre's relations associated to a generalized Cartan matrix A
7.10.2.4 ademRelations		compute the ideal of Adem relations for i<2j in char 0
7.10.2.5 baumslagSolitar
7.10.2.6 baumslagGroup
7.10.2.7 crystallographicGroupP1
7.10.2.8 crystallographicGroupPM
7.10.2.9 crystallographicGroupPG
7.10.2.10 crystallographicGroupP2MM
7.10.2.11 crystallographicGroupP2
7.10.2.12 crystallographicGroupP2GG
7.10.2.13 crystallographicGroupCM
7.10.2.14 crystallographicGroupC2MM
7.10.2.15 crystallographicGroupP4
7.10.2.16 crystallographicGroupP4MM
7.10.2.17 crystallographicGroupP4GM
7.10.2.18 crystallographicGroupP3
7.10.2.19 crystallographicGroupP31M
7.10.2.20 crystallographicGroupP3M1
7.10.2.21 crystallographicGroupP6
7.10.2.22 crystallographicGroupP6MM
7.10.2.23 dyckGroup1
7.10.2.24 dyckGroup2
7.10.2.25 dyckGroup3
7.10.2.26 fibonacciGroup
7.10.2.27 tetrahedronGroup
7.10.2.28 triangularGroup