[Merged by Bors] - feat(LinearAlgebra/ExteriorPower): add Basis for exteriorPower#32708
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morrison-daniel wants to merge 143 commits intoleanprover-community:masterfrom
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[Merged by Bors] - feat(LinearAlgebra/ExteriorPower): add Basis for exteriorPower#32708morrison-daniel wants to merge 143 commits intoleanprover-community:masterfrom
Basis for exteriorPower#32708morrison-daniel wants to merge 143 commits intoleanprover-community:masterfrom
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Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
…community/mathlib4 into SM.PiTensorProduct.DirectSum
…community/mathlib4 into SM.PiTensorProduct.DirectSum
Co-authored-by: Eric Wieser <efw@google.com>
Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
ocfnash
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Co-authored-by: Oliver Nash <7734364+ocfnash@users.noreply.github.com>
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Thanks!
Just a couple of minor nitpicks. Great to get these results
bors d+
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Co-authored-by: Oliver Nash <7734364+ocfnash@users.noreply.github.com>
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bors r+ |
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Feb 15, 2026
…32708) This defines a basis for `exteriorPower R M` given a `Basis I R M` where `I` is linearly ordered and develops API for working with basis elements. Key results: - `Basis.exteriorPower R n b` is the basis of `⋀[R]^n M` induced by the basis `b` of `M` - if `M` is free over `R` then so is `⋀[R]^n M` - if `M` is free and finite then `Module.finrank R (⋀[R]^n M) = Nat.choose (Module.finrank R M) n`
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Basis for exteriorPowerBasis for exteriorPower
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rao107
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Feb 18, 2026
…eanprover-community#32708) This defines a basis for `exteriorPower R M` given a `Basis I R M` where `I` is linearly ordered and develops API for working with basis elements. Key results: - `Basis.exteriorPower R n b` is the basis of `⋀[R]^n M` induced by the basis `b` of `M` - if `M` is free over `R` then so is `⋀[R]^n M` - if `M` is free and finite then `Module.finrank R (⋀[R]^n M) = Nat.choose (Module.finrank R M) n`
Maldooor
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Feb 25, 2026
…eanprover-community#32708) This defines a basis for `exteriorPower R M` given a `Basis I R M` where `I` is linearly ordered and develops API for working with basis elements. Key results: - `Basis.exteriorPower R n b` is the basis of `⋀[R]^n M` induced by the basis `b` of `M` - if `M` is free over `R` then so is `⋀[R]^n M` - if `M` is free and finite then `Module.finrank R (⋀[R]^n M) = Nat.choose (Module.finrank R M) n`
pfaffelh
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Mar 2, 2026
…eanprover-community#32708) This defines a basis for `exteriorPower R M` given a `Basis I R M` where `I` is linearly ordered and develops API for working with basis elements. Key results: - `Basis.exteriorPower R n b` is the basis of `⋀[R]^n M` induced by the basis `b` of `M` - if `M` is free over `R` then so is `⋀[R]^n M` - if `M` is free and finite then `Module.finrank R (⋀[R]^n M) = Nat.choose (Module.finrank R M) n`
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This defines a basis for
exteriorPower R Mgiven aBasis I R MwhereIis linearly ordered and develops API for working with basis elements.Key results:
Basis.exteriorPower R n bis the basis of⋀[R]^n Minduced by the basisbofMMis free overRthen so is⋀[R]^n MMis free and finite thenModule.finrank R (⋀[R]^n M) = Nat.choose (Module.finrank R M) n