SL_n(Q_p)
E1576708
UNEXPLORED
SL_n(Q_p) is the group of n×n p-adic matrices with determinant 1, forming a fundamental example of a non-compact p-adic Lie group central to number theory and representation theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| SL_n(Q_p) canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T23234798 — 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: SL_n(Q_p) Context triple: [p-adic analytic groups, hasExample, SL_n(Q_p)]
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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.
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B.
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.
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C.
special linear group SL(n,C)
The special linear group SL(n,ℂ) is the Lie group of n×n complex matrices with determinant 1, fundamental in representation theory, geometry, and many areas of modern mathematics and physics.
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D.
SL(2,ℤ)
SL(2,ℤ) is the group of 2×2 integer matrices with determinant 1, fundamental in number theory, geometry, and the theory of modular forms.
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E.
PSL(2,ℤ/Nℤ)
PSL(2,ℤ/Nℤ) is the projective special linear group of 2×2 matrices with entries in the ring of integers modulo N, modulo scalar matrices, forming a fundamental example of a finite (or, for composite N, generally non-simple) group in algebra and number theory.
- 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: SL_n(Q_p) Target entity description: SL_n(Q_p) is the group of n×n p-adic matrices with determinant 1, forming a fundamental example of a non-compact p-adic Lie group central to number theory and representation theory.
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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.
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B.
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.
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C.
special linear group SL(n,C)
The special linear group SL(n,ℂ) is the Lie group of n×n complex matrices with determinant 1, fundamental in representation theory, geometry, and many areas of modern mathematics and physics.
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D.
SL(2,ℤ)
SL(2,ℤ) is the group of 2×2 integer matrices with determinant 1, fundamental in number theory, geometry, and the theory of modular forms.
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E.
PSL(2,ℤ/Nℤ)
PSL(2,ℤ/Nℤ) is the projective special linear group of 2×2 matrices with entries in the ring of integers modulo N, modulo scalar matrices, forming a fundamental example of a finite (or, for composite N, generally non-simple) group in algebra and number theory.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.