hasCommutationRelations

P62054
predicate

Indicates that there exist specific commutation relations governing how two operators or elements combine or reorder with respect to each other.

Try in SPARQL

All labels observed (7)

Label Occurrences
hasCommutationRelation 5
LieBracketRelation 3
anticommutationProperty 1

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: hasCommutationRelations
Generated description
Indicates that there exist specific commutation relations governing how two operators or elements combine or reorder with respect to each other.

Sample triples (13)

Subject Object
Weyl algebra canonical commutation relations ⓘ
Lie ring [x,y]=xy−yx via predicate surface "commutatorBracketDefinition" ⓘ
Pauli matrices {σ_i, σ_j} = 2 δ_ij I via predicate surface "anticommutationRelation" ⓘ
Pauli matrices [σ_i, σ_j] = 2 i ε_ijk σ_k via predicate surface "commutationRelation" ⓘ
Heisenberg Lie algebra [X_i,Y_j] = δ_{ij} Z via predicate surface "hasCommutationRelation" ⓘ
Heisenberg Lie algebra [X_i,X_j] = 0 via predicate surface "hasCommutationRelation" ⓘ
Heisenberg Lie algebra [Y_i,Y_j] = 0 via predicate surface "hasCommutationRelation" ⓘ
Heisenberg Lie algebra [X_i,Z] = 0 via predicate surface "hasCommutationRelation" ⓘ
Heisenberg Lie algebra [Y_i,Z] = 0 via predicate surface "hasCommutationRelation" ⓘ
sl(2,C) [H,E] = 2E via predicate surface "LieBracketRelation" ⓘ
sl(2,C) [H,F] = -2F via predicate surface "LieBracketRelation" ⓘ
sl(2,C) [E,F] = H via predicate surface "LieBracketRelation" ⓘ
Faddeev–Popov ghosts Grassmann-odd via predicate surface "anticommutationProperty" ⓘ