How Much Do You Know About Affine Lie Algebra?

10 Questions | Total Attempts: 108

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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.

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