Hacker News with Generative AI: Algebra

Abel Prize Awarded to Japanese Mathematician Who Abstracted Abstractions (nytimes.com)
Masaki Kashiwara, a Japanese mathematician, received this year’s Abel Prize, which aspires to be the equivalent of the Nobel Prize in math. Dr. Kashiwara’s highly abstract work combined algebra, geometry and differential equations in surprising ways.

Mathematics, Awards, Japan, Algebra, Geometry

12 points by donohoe 8 days ago | 0 comments

The exceptional Jordan algebra (2020) (hatsya.com)
In the early 1930s, Pascual Jordan attempted to formalise the algebraic properties of Hermitian matrices.

Mathematics, Algebra, History

108 points by gone35 17 days ago | 15 comments

Quaternions and spherical trigonometry (wordpress.com)
Hamilton’s quaternion number system is a non-commutative extension of the complex numbers, consisting of numbers of the form where are real numbers, and are anti-commuting square roots of with , , . While they are non-commutative, they do keep many other properties of the complex numbers:

Mathematics, Algebra, Number Theory, Geometry

124 points by t55 62 days ago | 48 comments

Galois Theory (ph.utexas.edu)

Mathematics, Algebra, Education

467 points by mathgenius 231 days ago | 234 comments

The algebra and calculus of algebraic data types (2015) (recurse.com)

Algebra, Calculus, Data Types

128 points by thunderbong 253 days ago | 45 comments

Grothendieck’s use of equality (arxiv.org)

Mathematics, Algebra, Proofs

178 points by golol 318 days ago | 129 comments