The current implementation of quaternions (sympy/algebras/quaternion) requires that the arguments are commutative expressions. But I can't see a good reason for this limitation; quaternions with non-commutative arguments make perfect sense and do arise in some areas of mathematics. For example, given any non-commutative real algebra, we can consider its "quaternionification", i.e. its tensor product with the quaternions over the real numbers, which can be viewed as quaternions with non-commutative arguments. For instance, quaternionifications of Lie algebras come up naturally (at least in my field), and it would be good to be able to implement this in SymPy.
I would be happy to make the necessary changes to the quaternion module to allow for quaternions with non-commutative arguments. But before I start coding, I wanted to see with the SymPy community if this change would be likely to be accepted. Thank you. -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/0d11d151-962a-4662-b9b7-fc65c0133269%40googlegroups.com.
