The 'useless' perspective that transformed mathematics
by Kevin Hartnett, Senior Writer

Quanta Magazine    Translate This Article
9 June 2020

On 9 June 2020 Quanta Magazine reported: When representation theory emerged in the late 19th century, many mathematicians questioned its worth. More than a century since its debut, representation theory has served as a key ingredient in many of the most important discoveries in mathematics. Global Good News service views this news as a sign of rising positivity in the field of science, documenting the growth of life-supporting, evolutionary trends.

Representation theory is a way of taking complicated objects and 'representing' them with simpler objects. The complicated objects are often collections of mathematical objects -- like numbers or symmetries -- that stand in a particular structured relationship with each other. These collections are called groups. The simpler objects are arrays of numbers called matrices, the core element of linear algebra. While groups are abstract and often difficult to get a handle on, matrices and linear algebra are elementary.

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