List questions from division-algebras

Published on 24 Mar 2026 - 22:26

295

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Brauer group of cyclic extension of the rationals

Published on 19 Mar 2026 - 16:57

618

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Show that $\Bbb R^{2n+1}$ is not a division algebra over $\Bbb R$ for $n>0$

Published on 26 Apr 2016 - 1:36

440

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Parallelization of a Sphere gives Division Algebra

Published on 28 Apr 2016 - 20:06

169

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concept of conjugacy class in a ring

Published on 26 May 2016 - 12:01

99

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Existence of a division ring on a field.

Published on 13 Jun 2016 - 19:36

103

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4-D lattices and quaternions

Published on 28 Jun 2016 - 15:09

252

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Quaternion algebra and norm

Published on 16 Apr 2013 - 11:47

652

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Statement equivalent to fundamental theorem of algebra

Published on 21 Apr 2013 - 12:28

868

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normed division algebra

Published on 22 Apr 2013 - 4:31

248

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Is $SL_1(D)$ topologically finitely generated, for $D$ a division algebra over a local field?

Published on 27 Sep 2013 - 21:05

2.8k

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Brauer group of a field of rational numbers

Published on 03 Dec 2013 - 17:48

123

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A corollary to the Wedderburn-Artin theorem.

Published on 04 Dec 2013 - 0:04

78

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Brauer equivalence classes over $\mathbb{Q}$.

Published on 05 Dec 2013 - 10:42

385

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Schur's Lemma and division algebras

Published on 28 Dec 2013 - 12:54

List Question

Why do division algebras always have a number of dimensions which is a power of $2$?

Brauer group of cyclic extension of the rationals

Show that $\Bbb R^{2n+1}$ is not a division algebra over $\Bbb R$ for $n>0$

Parallelization of a Sphere gives Division Algebra

concept of conjugacy class in a ring

Existence of a division ring on a field.

4-D lattices and quaternions

Quaternion algebra and norm

Statement equivalent to fundamental theorem of algebra

normed division algebra

Is $SL_1(D)$ topologically finitely generated, for $D$ a division algebra over a local field?

Brauer group of a field of rational numbers

A corollary to the Wedderburn-Artin theorem.

Brauer equivalence classes over $\mathbb{Q}$.

Schur's Lemma and division algebras

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