Representation Theory Quizzes, Questions & Answers
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The Auslander Algebra is a work of Maurice Auslander a famous American Mathematician. His work was an Artin Algebra representation. An Artin Algebra is an Auslander Algebra if gl dim Γ ≤ 2 and if...
Questions: 10 | Attempts: 139 | Last updated: Mar 18, 2023
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Sample QuestionWhich of these is a summed up module of Algebra A?
Auslander Reiten Theory is a co-work of Maurice Auslander and Idun Reiten in 1975. Their theory studies the representation theory of Artinian rings using the Sequence and quivers techniques. Try this quiz.
Questions: 10 | Attempts: 150 | Last updated: Mar 21, 2023
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Sample QuestionWhat part of Algebra is the Auslander Reiten Theory categorized?
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In mathematics--especially when considering the field of representation theory on a vector space represented by an invariant real structure, real representations are very useful. If you are willing to learn more about this...
Questions: 10 | Attempts: 128 | Last updated: Mar 20, 2023
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Sample QuestionHow do we represent real vector space?
This is part of the representation theory in mathematics. A reductive dual pair is termed as a pair of two subgroups under the isometry group. After the introduction of the theorem, it has been effectively used for mathematical...
Questions: 10 | Attempts: 124 | Last updated: Mar 19, 2023
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Sample QuestionWho introduced the theorem?
In mathematics, the field of representational theory studies abstract algebraic structures by the using the linear transformation of vector spaces to represent their elements. The highest weight category is also one of this...
Questions: 10 | Attempts: 130 | Last updated: Mar 20, 2023
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Sample QuestionThe highest-weight category is a field that is...
Herz–Schur multipliers were named after two scientists: Carl S. Herz and Issai Schur. The multiplier was introduced by Haagerup and collaborators in 1985 and it is a special kind of mapping used in the field of...
Questions: 10 | Attempts: 123 | Last updated: Mar 18, 2023
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Sample QuestionWhat is the S in Carl S. Herz?
Schur algebras are useful in the field of representation theory under the science of structure, order, and relation otherwise known as mathematics.
They are specific limited-dimensional algebras intently connected with...
Questions: 10 | Attempts: 117 | Last updated: Mar 21, 2023
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Sample QuestionSchur algebras are named after who?
In the science of structure, order, and relation otherwise known as mathematics, the field of representation theory encompasses Schur functors, which are particular functors from the classification of modules over a settled...
Questions: 10 | Attempts: 115 | Last updated: Mar 21, 2023
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Sample QuestionWhich power of a vector space do they generalize?
When we reunite broken parts (i.e. in algebra), the Auslander–Reiten theory becomes a very useful theory, which —
thanks to specific techniques — studies the representation theory of Artinian rings.
These...
Questions: 10 | Attempts: 125 | Last updated: Mar 20, 2023
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Sample QuestionWhen was Auslander–Reiten theory introduced?
In the representation theory branch of mathematics, the stable module category is is a classification or category with projectives that are considered out.
If you would like to know more about this widespread type of categories,...
Questions: 10 | Attempts: 121 | Last updated: Mar 19, 2023
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Sample QuestionHow can you describe the projectives?
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