GL_n(Q_p)
E1576269
UNEXPLORED
GL_n(Q_p) is the group of invertible n×n matrices with entries in the p-adic numbers, forming a fundamental example of a p-adic Lie group central to number theory and representation theory.
All labels observed (2)
| Label | Occurrences |
|---|---|
| GL(n) over p-adic fields | 1 |
| GL_n(Q_p) canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T23234797 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: GL_n(Q_p) Context triple: [p-adic analytic groups, hasExample, GL_n(Q_p)]
-
A.
GL_n(Q_l)
GL_n(Q_l) is the group of invertible n×n matrices over the field of ℓ-adic numbers, fundamental in the study of ℓ-adic Galois representations and arithmetic geometry.
-
B.
general linear group GL(n,R)
The general linear group GL(n,ℝ) is the Lie group consisting of all invertible n×n real matrices under matrix multiplication, fundamental in linear algebra and differential geometry.
-
C.
general linear group GL(n,C)
The general linear group GL(n,ℂ) is the Lie group consisting of all invertible n×n complex matrices under matrix multiplication, fundamental in linear algebra and representation theory.
-
D.
p-adic analytic groups
p-adic analytic groups are topological groups over the p-adic numbers that locally resemble finite-dimensional p-adic manifolds and admit a compatible analytic structure.
-
E.
special linear group SL(n,R)
The special linear group SL(n,ℝ) is the Lie group of all n×n real matrices with determinant 1, fundamental in linear algebra and differential geometry as the group of volume-preserving linear transformations.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: GL_n(Q_p) Target entity description: GL_n(Q_p) is the group of invertible n×n matrices with entries in the p-adic numbers, forming a fundamental example of a p-adic Lie group central to number theory and representation theory.
-
A.
GL_n(Q_l)
GL_n(Q_l) is the group of invertible n×n matrices over the field of ℓ-adic numbers, fundamental in the study of ℓ-adic Galois representations and arithmetic geometry.
-
B.
general linear group GL(n,R)
The general linear group GL(n,ℝ) is the Lie group consisting of all invertible n×n real matrices under matrix multiplication, fundamental in linear algebra and differential geometry.
-
C.
general linear group GL(n,C)
The general linear group GL(n,ℂ) is the Lie group consisting of all invertible n×n complex matrices under matrix multiplication, fundamental in linear algebra and representation theory.
-
D.
p-adic analytic groups
p-adic analytic groups are topological groups over the p-adic numbers that locally resemble finite-dimensional p-adic manifolds and admit a compatible analytic structure.
-
E.
special linear group SL(n,R)
The special linear group SL(n,ℝ) is the Lie group of all n×n real matrices with determinant 1, fundamental in linear algebra and differential geometry as the group of volume-preserving linear transformations.
- F. None of above. chosen
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: GL_n(Q_p)