How Much Do You Know About Affine Lie Algebra?

10 Questions | By Ruso | Last updated: Mar 20, 2022 | Total Attempts: 108

Questions

Settings

Create your own Quiz

How Much Do You Know About Affine Lie Algebra? - Quiz

Lie Algebra is possibly another branch of algebra, which is difficult to define or explain. But those who know about it define it as an infinite-dimensional Lie algebra constructed in a canonical fashion out of a finite-dimensional simple Lie algebra. So, how much do you know about this discipline? Take our quiz and find out.

Questions and Answers

1.

How many meaning does the Cartan matrix have?
- A.
  
  3
- B.
  
  2
- C.
  
  5
- D.
  
  6
2.

What's the string theory?
- A.
  
  It's the theoretical framework in which the point-like particles of particle are replaced by two-dimensional objects called strings.
- B.
  
  It's the theoretical framework in which the point-like particles of particle are replaced by three-dimensional objects called strings.
- C.
  
  It's the theoretical framework in which the point-like particles of particle are replaced by five-dimensional objects called strings.
- D.
  
  It's the theoretical framework in which the point-like particles of particle are replaced by one-dimensional objects called strings.
3.

What are loop algebras?
- A.
  
  They are certain types of Lie algebras, of particular interest in theoretical mathematics.
- B.
  
  They are certain types of Lie physics, of particular interest in theoretical algebras.
- C.
  
  They are certain types of Lie algebras, of particular interest in theoretical physics.
- D.
  
  They are certain types of algebras, of particular interest in theoretical mathematics.
4.

What's the other term for quantum anomaly?
- A.
  
  Quantums
- B.
  
  Decimals
- C.
  
  Whole numbers
- D.
  
  Anomaly
5.

What's an automorphism?
- A.
  
  It's an isomorphism from a mathematical object to itself.
- B.
  
  It's an isomorphic from a mathematical object to itself.
- C.
  
  It's an metamorphism from a mathematical object to itself.
- D.
  
  It's an sophism from a mathematical object to itself.
6.

What's a Dynkin diagram?
- A.
  
  It's a type of graph with some edges.
- B.
  
  It's a type of graph with some edges doubled or tripled.
- C.
  
  It's a type of graph with some doubled edges.
- D.
  
  It's a type of graph with some tripled edges.
7.

What's a group extension in mathematics?
- A.
  
  It's a general means of describing a group in terms of a particular normal group and quotient group.
- B.
  
  It's a general means of describing a group in terms of a particular normal group and quotient subgroup.
- C.
  
  It's a general means of describing a group in terms of a particular normal subgroup and quotient group.
- D.
  
  It's a general means of describing a normal subgroup and quotient group.
8.

What's the other term for Laurent polynomials?
- A.
  
  Laurent series
- B.
  
  Grant series
- C.
  
  Grant numbers
- D.
  
  Grant algebra
9.

What's a lining form?
- A.
  
  It's a symmetric linear form that plays a basic role in the theories of Lie groups and Lie algebras.
- B.
  
  It's a symmetric tri linear form that plays a basic role in the theories of Lie groups and Lie algebras.
- C.
  
  It's a symmetric bi linear form that plays a basic role in the theories of Lie groups and and shapes.
- D.
  
  It's a symmetric bi linear form that plays a basic role in the theories of Lie groups and Lie algebras.
10.

What's a semidirect product?
- A.
  
  It's a generalization of a direct product.
- B.
  
  It's a generalization of a indirect product.
- C.
  
  It's a generalization of a direct function.
- D.
  
  It's a generalization of a curve.