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WikiCards · Card list · Science cards · Representation theory
Uncommon card · Science
Representation theory, an Uncommon card
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 78
- DEF
- 67
- Power
- 145
- Wikipedia reads a year
- 75,000
Power 145 (ATK + DEF): stronger than 75 % of WikiCards cards.
Representation theory quiz: 3 questions
Three questions on the Representation theory card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
The algebraic objects amenable to such a ______ include groups, associative algebras and Lie algebras.
Answer
description. The algebraic objects amenable to such a description include groups, associative algebras and Lie algebras. From the Representation theory article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Representation theory. Representation theory 78 · Protest 74 · Microscope 71 · Horse-drawn vehicle 66 ATK in WikiCards.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- In essence, a representation makes an abstract algebraic object more concrete by describing its elements by matrices and their algebraic operations.
- The algebraic objects amenable to such a description include groups, associative algebras and Lie algebras.
- The most prominent of these is the representation theory of groups, in which elements of a group are represented by invertible matrices such that the group operation is matrix multiplication.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Representation theory article was read about 75,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 78 and blocks with 67: each hit it takes is cut by 27 %.
How to get Representation theory
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
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Credits
Text : Wikipedia, Representation theory (revision), CC BY-SA 4.0. Photo : Krishnavedala, Public domain, Wikimedia Commons.
