Atlas of Lie Groups and Representations

Documentation contents

atlas Library · Script File

generate_groups.at

Source
atlas-scripts/generate_groups.at (44 lines)
Definitions
6
Loads
Loaded by
galois.at

Definitions in source order

all_simple_root_systems_given_rank

L4all_simple_root_systems_given_rank(int rank) = [string]
list of all simple root systems of given rank

all_inner_classes

L15all_inner_classes(string type_and_rank) = [string]
list of allowed inner classes for given simple type, e.g.
all_inner_classes("A2")
Value: ["e","u"]

all_simple_given_isogeny_and_rank

L24all_simple_given_isogeny_and_rank(string isogeny,int rank) = [RealForm]
generate list of all simple groups of given rank
either simply connected "sc" or adjoint "ad"

all_simple

L36all_simple = all_simple_given_isogeny_and_rank@(string,int)
more practical synonym

all_simple_simply_connected_rank

L39all_simple_simply_connected_rank(int rank) = [RealForm]
all_simple("sc",k) or all_simple("ad",k)

all_simple_adjoint_rank

L41all_simple_adjoint_rank(int rank) = [RealForm]

Generated from atlas-scripts at commit 648506c (2026-10-13).