CartanDecomposition

P160160

predicate

Indicates a decomposition of a Lie group or Lie algebra element into a product (or sum) of components from a maximal compact subalgebra and its complementary subspace, as specified by the Cartan decomposition.

Try in SPARQL

All labels observed (1)

Label	Occurrences
CartanDecomposition 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: CartanDecomposition

Generated description

Indicates a decomposition of a Lie group or Lie algebra element into a product (or sum) of components from a maximal compact subalgebra and its complementary subspace, as specified by the Cartan decomposition.

Sample triples (2)

Subject	Object
PSL(2,ℝ)	KAK with K≅SO(2) ⓘ
SL(2,R)	KAK decomposition with K=SO(2) ⓘ