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New posts in division-algebras
Brauer group of a field of rational numbers
abstract-algebra
group-theory
field-theory
division-algebras
An example of noncommutative division algebra over $Q$ other than quaternion algebras
abstract-algebra
division-algebras
Relationship between trivial Brauer group and commutative division algebras
abstract-algebra
ring-theory
division-algebras
brauer-group
Quaternion Rings
abstract-algebra
quaternions
division-algebras
Is my paper on a number system that allows arithmetic on 3D vectors useful?
abstract-algebra
rotations
quaternions
division-algebras
Simple $M_n(D)$-module with $D$ a division ring
abstract-algebra
ring-theory
modules
division-algebras
Why do division algebras always have a number of dimensions which is a power of $2$?
binary
quaternions
division-algebras
octonions
sedenions
what are the p-adic division algebras?
p-adic-number-theory
division-algebras
What is this 2D division algebra?
abstract-algebra
division-algebras
What are some real-world uses of Octonions?
abstract-algebra
octonions
division-algebras
What do we lose passing from the reals to the complex numbers?
complex-numbers
quaternions
division-algebras
octonions
Which number fields can appear as subfields of a finite-dimensional division algebra over Q with center Q?
algebraic-number-theory
division-algebras
class-field-theory
Proving that $\mathbb R^3$ cannot be made into a real division algebra (and that extending complex multiplication would not work)
abstract-algebra
lie-groups
quaternions
division-algebras
An example of a division ring $D$ that is **not** isomorphic to its opposite ring
abstract-algebra
ring-theory
examples-counterexamples
noncommutative-algebra
division-algebras
linear algebra over a division ring vs. over a field
linear-algebra
abstract-algebra
division-algebras
Why are the solutions of polynomial equations so unconstrained over the quaternions?
abstract-algebra
polynomials
roots
quaternions
division-algebras
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