What Do You Know About Admissible Representation?

10 Questions | Total Attempts: 109

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What Do You Know About Admissible Representation? - Quiz

The term ” Admissible representations” represents a branch of mathematical theory which is used to resolve reductive Lie groups and compact disconnected representation groups. How well do you know the terms and functions used in admissible representation theory? Take this quiz to test your knowledge about the concepts in Admissible representation.


Questions and Answers
  • 1. 
    Admissible representation generally represents an organized form of representation used in which theory?
    • A. 

      Representation theory of reductive Lie groups

    • B. 

      Representation theory of algebraic groups

    • C. 

      Representation theory of linear numbers

    • D. 

      Representation theory of prime groups

  • 2. 
    An admissible representation π generally induces a?
    • A. 

      (g,K)-module

    • B. 

      (k,m)-module

    • C. 

      (f,n)-module

    • D. 

      (g,n)-module

  • 3. 
    Admissible representation in which (E, G)-ring B can be regarded as being regular if?
    • A. 

      B is reduced

    • B. 

      B is increased

    • C. 

      The coefficient in the bracket is = B

    • D. 

      E = to the sum of the ring B

  • 4. 
    The representation (π, V) of G on a complex vector space V is called _____if the subgroup of G fixing any vector of V is open.  
    • A. 

      Linear

    • B. 

      Regular

    • C. 

      Smooth

    • D. 

      Polar

  • 5. 
    When the space of vectors fixed by any compact open subgroup is finite dimensional then π is said to be?
    • A. 

      Admissible

    • B. 

      Permissible

    • C. 

      Linear

    • D. 

      Parallel

  • 6. 
    What period of time was the admissible representations of p-adic reductive group researched?
    • A. 

      1970s

    • B. 

      1960s

    • C. 

      1980s

    • D. 

      1990s

  • 7. 
    Langlands classification is typically used to solve which admissible representation problem?
    • A. 

      The problem of polarizing the infinitesimal equivalence classes

    • B. 

      The problem of parameterizing the infinite admissible classes

    • C. 

      The problem of parameterizing the infinitesimal equivalence classes

    • D. 

      The problem of itemizing the infinitesimal equivalence classes

  • 8. 
    The study of the equivalence classes of irreducible unitary representations can be reduced by employing?
    • A. 

      Reducing the Unitarity of (g,k)-modules

    • B. 

      The notion of unitarity of (g,M)-modules

    • C. 

      The theory of polarity modules

    • D. 

      Landgarlds classification

  • 9. 
    A sub division of Admissible representation used is known as?
    • A. 

      B-admissible representation

    • B. 

      Linear admissible representation

    • C. 

      Alpha admissible representation

    • D. 

      Polar admissible representation

  • 10. 
    The concept of Admissible representation was postulated by?
    • A. 

      Harish-Chandra

    • B. 

      Andrew Wiles

    • C. 

      Robert Langlands

    • D. 

      Henry Shaw

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