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The `__init__` method of GroupAlgebra did not check for commutativity of the group so that this would happen:
```
sage: G = AbelianGroup(2)
sage: A = GroupAlgebra(G)
sage: A.is_commutative()
True
s…
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My definition of well ordered set is this:
```
Definition hasSmallest {X : UU} (R : hrel X) : hProp
:= ∀ S : hsubtype X, (∃ x, S x) ⇒ ∃ x:X, S x ∧ ∀ y:X, S y ⇒ R x y.
Definition isWellOrder {X…
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We should add a Group interface to the docs. Actually, we should add a general AbstractAlgebra object interface, since it seems like some things have to exist for every AbstractAlgebra object, regardl…
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### What is the issue?
In a relatively simple prompt, one of the Phi models went off track and ranted for several thousand words. After, all future responses produced (mostly) garbage output, even in…
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Initial implementation of Lie algebras in sage.
This will contain the following:
- Free Lie algebras
* Hall basis
* Lyndon basis
- Abelian Lie algebras
- Lie algebras from an associative algeb…
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while I was (am) very happy to have found this function, I always thought an inner product combines sub-objects only? This sees to me an out product with maps (which is why I am happy)
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I would like to use the commutative=False argument to symbols to make sure
my expressions aren't arbitrarily re-arranged. But in the case of boolean expressions,
I get some un-anticipated behavior.…
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We should find an existing library for this
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There's a construction called `Spec` which eats a commutative ring `R` and spits out a topological space `Spec R`. To a mathematician it is trivially true that if we have an isomorphism `f : R -> S` t…
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For example, is there any way to use CAP_project or homalg to actually compute, say, the Schur multiplier $M(G) = H_2(G, Z)$ of a finite permutation group, or $H^2(G, Z)$ resp. $H^2(G, C^*)$?