maximalTorus

P78391
predicate

Indicates that one group is a maximal torus inside another group, meaning it is a largest possible connected, abelian, diagonalizable subgroup not properly contained in any larger such torus.

All labels observed (3)

Label Occurrences
hasMaximalTorus 3
isMaximalTorusIn 2
maximalTorus canonical 2

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'
Input
Predicate: maximalTorus
Generated description
Indicates that one group is a maximal torus inside another group, meaning it is a largest possible connected, abelian, diagonalizable subgroup not properly contained in any larger such torus.

Sample triples (7)

Subject Object
SO(3) SO(2) ⓘ
SU(2) U(1) via predicate surface "hasMaximalTorus" ⓘ
U(1) U(n) via predicate surface "isMaximalTorusIn" ⓘ
U(1) SU(2) via predicate surface "isMaximalTorusIn" ⓘ
SU(n) diagonal unitary matrices with determinant 1 ⓘ
GL(n,ℂ) diagonal invertible matrices via predicate surface "hasMaximalTorus" ⓘ
SL(n,ℂ) diagonal matrices with determinant 1 via predicate surface "hasMaximalTorus" ⓘ