Add SL4 lattice over LaurentSeries and Huang–Shi Theorem 1.2 statement #1336
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YaelDillies
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Dec 10, 2025
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| import Mathlib.RingTheory.Polynomial.Basic | ||
| import Mathlib | ||
| import Mathlib.RingTheory.LaurentSeries | ||
| import Mathlib.RingTheory.PowerSeries.Basic | ||
| import Mathlib.RingTheory.HahnSeries.Basic | ||
| import Mathlib.Topology.Algebra.Valued.ValuedField | ||
| import Mathlib.Topology.Algebra.Group.Basic | ||
| import Mathlib.GroupTheory.QuotientGroup.Basic |
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The previous import already covers these
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| /- Let D be the diagonal group of SL_n(R) where n ≥ 3. | ||
| Then any relatively compact D-orbit in SL_n(R)/ SLn(Z) is closed. -/ | ||
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| end | ||
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| /- Let D be the diagonal group of SL_n(R) where n ≥ 3. |
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| /- Let D be the diagonal group of SL_n(R) where n ≥ 3. | |
| /-- Let D be the diagonal group of SL_n(R) where n ≥ 3. |
and can you please latex it?
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| abbrev SL4 (R : Type*) [CommRing R] := |
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| abbrev SL4 (R : Type*) [CommRing R] := | |
| abbrev SL4 (R : Type*) [CommRing R] := |
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| /- Die natürliche Einbettung `F[t] →+* F((t⁻¹))`: | ||
| Polynom → Potenzreihe → Laurentreihe. -/ | ||
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| ¬ IsClosed (MulAction.orbit (diagonalSubgroup (Fin 4) (K F)) z) := | ||
| by |
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| ¬ IsClosed (MulAction.orbit (diagonalSubgroup (Fin 4) (K F)) z) := | |
| by | |
| ¬ IsClosed (MulAction.orbit (diagonalSubgroup (Fin 4) (K F)) z) := by |
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