List questions from division-algebras

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Division rings over fields

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Prove $\mathbb{Q}$-subalgebra of quaternions is a division algebra over $\mathbb{Q}$

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"Canonical" norm on a real finite-dimensional unital associative division algebra?

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A question to Finite Multiplicative subgroups in a division ring of I. N. Herstein

Published on 23 Feb 2026 - 10:05

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Splitting fields of subalgebras of central division algebras

Published on 09 Jun 2021 - 13:40

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An exercise about Division Algebra

Published on 23 Feb 2026 - 10:00

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Desargues $\implies$ associativity: Projective planes over non-associative structures?

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Showing there exists no Division algebra on $\mathbb R^3$ indirectly (Sort of...)

Published on 06 Jul 2021 - 16:58

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On well-definedness of Shimura curve.

Published on 29 Jul 2021 - 18:19

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when does a quaternion algebra isomorphic to $M_2(F)$?

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Eichler orders in the quaternion.

Published on 18 Aug 2021 - 5:30

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Examples of matrix groups with centralizer isomorphic to $\Bbb C$ or $\Bbb H$

Published on 01 Oct 2021 - 17:25

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Can I tell from the group how the endomorphism rings of its representations will look like?

Published on 02 Oct 2021 - 23:57

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The quadratic equation $x^2=c$ in a division ring

Published on 23 Feb 2026 - 10:02

List Question

Affine domain over an algebraically closed field

Division rings over fields

Prove $\mathbb{Q}$-subalgebra of quaternions is a division algebra over $\mathbb{Q}$

"Canonical" norm on a real finite-dimensional unital associative division algebra?

A question to Finite Multiplicative subgroups in a division ring of I. N. Herstein

Splitting fields of subalgebras of central division algebras

An exercise about Division Algebra

Desargues $\implies$ associativity: Projective planes over non-associative structures?

Showing there exists no Division algebra on $\mathbb R^3$ indirectly (Sort of...)

On well-definedness of Shimura curve.

when does a quaternion algebra isomorphic to $M_2(F)$?

Eichler orders in the quaternion.

Examples of matrix groups with centralizer isomorphic to $\Bbb C$ or $\Bbb H$

Can I tell from the group how the endomorphism rings of its representations will look like?

The quadratic equation $x^2=c$ in a division ring

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