10 Questions

Questions and Answers

- 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