What Do You Know About Subrepresentations?
Representations—in the representation theory branch of mathematics—have subrepresentations. They simply mean a representation with limited dimensions dependably contains a nonzero subrepresentation that is unchangeable. Also, given a representation of a group, a direct linear subspace is preserved by a predefined action. If you'd like to know more about subrepresentations, take the short quiz below.
- 1.
![What are irreducible representations the building blocks of? - ProProfs]( "What are irreducible representations the building blocks of?")
What are irreducible representations the building blocks of?- A.
Representation theory
- B.
Maxim theory
- C.
Algebraic theory
- D.
Quadratic functionÂ
- 2.
![When V has exactly two subrepresentations, namely the trivial subspace {0} and V itself, then the representation is said to be what? - ProProfs]( "When V has exactly two subrepresentations, namely the trivial subspace {0} and V itself, then the representation is said to be what?")
When V has exactly two subrepresentations, namely the trivial subspace {0} and V itself, then the representation is said to be what?- A.
Irreducible
- B.
Functional
- C.
Maximal
- D.
Reducible
- 3.
![Which theory states that the process of decomposing a tensor product as a direct sum of irreducible representations? - ProProfs]( "Which theory states that the process of decomposing a tensor product as a direct sum of irreducible representations?")
Which theory states that the process of decomposing a tensor product as a direct sum of irreducible representations?- A.
Choquet theory
- B.
Braid theory
- C.
Clebsch–Gordan theory
- D.
Maxim theory
- 4.
![Which of these arises in the applications of finite group theory to geometry and crystallography? - ProProfs]( "Which of these arises in the applications of finite group theory to geometry and crystallography?")
Which of these arises in the applications of finite group theory to geometry and crystallography?- A.
Group representation
- B.
Maximum functions
- C.
Functional numbers
- D.
Irreducible representation
- 5.
![When the representation of a finite group G has a number of convenient properties it is known as? - ProProfs]( "When the representation of a finite group G has a number of convenient properties it is known as?")
When the representation of a finite group G has a number of convenient properties it is known as?- A.
Finite zero
- B.
Maxim point
- C.
Characteristic zero
- D.
Functional stop
- 6.
![What types of fields does Maschke's theorem prove? - ProProfs]( "What types of fields does Maschke's theorem prove?")
What types of fields does Maschke's theorem prove?- A.
Field of an angle
- B.
Positive characteristics
- C.
Line function
- D.
Algebraic fields
- 7.
![How are representations of a finite group G linked directly to algebra?
- ProProfs]( "How are representations of a finite group G linked directly to algebra?")
How are representations of a finite group G linked directly to algebra?- A.
Group algebra
- B.
Finite point
- C.
View point
- D.
Misrepresentations
- 8.
![Which characteristics do Lie groups have? - ProProfs]( "Which characteristics do Lie groups have?")
Which characteristics do Lie groups have?- A.
Finite numbers
- B.
Smooth manifold
- C.
Irregular manifold
- D.
Complex functions
- 9.
![In which field is representation theory ideal? - ProProfs]( "In which field is representation theory ideal?")
In which field is representation theory ideal?- A.
Linear algebra
- B.
Solving functions
- C.
Angular calculations
- D.
Complex functions
- 10.
![What does the vector space V denote in representation analysis? - ProProfs]( "What does the vector space V denote in representation analysis?")
What does the vector space V denote in representation analysis?- A.
Representation space
- B.
Representation dimension
- C.
Algebraic constant
- D.
Representation line
Questions: 12 | Attempts: 5563824 | Last updated: Jun 15, 2021
-
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: 10 | Attempts: 891781 | Last updated: Nov 27, 2019
-
Sample QuestionMathematics is the study of topics such as quantity, structure, space, and change.
Questions: 6 | Attempts: 59415 | Last updated: Oct 13, 2020
-
Sample QuestionWho was the father of mathematics and music?
Back to top