What Do You Know About Highest-weight Categories?
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 representational theory, it is a k-linear category, that has k as its field. This quiz will test your knowledge about the topic and introduce you to it if you are yet to know what it is.
- 1.
The highest-weight category is a field that is...- A.
Locally Artinian
- B.
Functionally spaced
- C.
A subset of G
- D.
Geometrical
- 2.
What is the concept of highest-weight categories named after?
- A.
Lie group
- B.
Lie algebra
- C.
Boolean algebra
- D.
Fourier series
- 3.
If a finite-dimensional algebra has its module as the highest-weight category, what is it said to be?
- A.
Uni-hereditary
- B.
Para-hereditary
- C.
Quasi-hereditary
- D.
Tri-hereditary
- 4.
Several equivalent descriptions of the ______ can be used to provide several equivalent descriptions of highest-weight categories.
- A.
Abelian category
- B.
Amelian category
- C.
Henning category
- D.
Boolean category
- 5.
Who introduced the concept of highest-weight categories?
- A.
Parshall, Davis and Craig
- B.
Davis, Craig and Cline
- C.
Cline, Steve and Davis
- D.
Parshall, Scott and Cline
- 6.
What can monomorphism also be called?
- A.
Embeddings
- B.
Epimorphs
- C.
Retraction
- D.
Unimorphism
- 7.
A category is Abelian if it has how many objects?
- A.
Four
- B.
Three
- C.
Two
- D.
One
- 8.
Which is one of the characteristics of the highest-weight categories?
- A.
Polymorphisms are unique for every function
- B.
Zero objects are unique up to isomorphism
- C.
Both A and B
- D.
Neither A and B
- 9.
What must the highest-weight category have?
- A.
Simple injectives
- B.
Enough injectives
- C.
Infinite subsets
- D.
Boolean algebra
- 10.
The representational theory is a mathematical subject that looks to study symmetries in...
- A.
Scalar spaces
- B.
Vector spaces
- C.
Scalar spaces
- D.
Radial spaces
Questions: 12 | Attempts: 5566218 | Last updated: Mar 22, 2022
-
Sample QuestionWho said "The universe can not be read until we learn the language and become familiar with the characters in which it is writte"?
Questions: 8 | Attempts: 1579881 | Last updated: Mar 22, 2022
-
Sample QuestionWhat is the square root of 49?
Questions: 15 | Attempts: 452353 | Last updated: Mar 22, 2022
-
Sample QuestionHow much should you tip on a $30 restaurant bill if you tip 20%?
- Cartography Quizzes
- Civics Quizzes
- Economics Quizzes
- El112 Quizzes
- English Quizzes
- Geography Quizzes
- History Quizzes
- Humanities Quizzes
- Law Quizzes
- Linguistics Quizzes
- Logic Quizzes
- Philosophy Quizzes
- Political Science Quizzes
- Politics Quizzes
- Science Quizzes
- Social Science Quizzes
- Sociology Quizzes
Back to top