Hecke Algebra Trivia Quiz

10 Questions | Total Attempts: 105

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Hecke Algebra Trivia Quiz

Hecke algebra in mathematics refers to a certain class of algebra related to the approach of Erich Hecke a German mathematician. Hecke Algebra can be interpreted as an algebra of double cosets. Are you familiar with this topic? Try this quiz.


Questions and Answers
  • 1. 
    What can Hecke Algebra be interpreted as?
    • A. 

      Coxeter

    • B. 

      Algebra of double cosets

    • C. 

      Effective Factorisation

    • D. 

      Algebra of co-inhibition

  • 2. 
    Which of these is a deformation of coxeter groups?
    • A. 

      Double Cosets Algebra

    • B. 

      Hecke cosets

    • C. 

      Iwahori-Hecke Algebra

    • D. 

      Hecke Algebra

  • 3. 
    Hecke Algebra are quotient of which type of ring?
    • A. 

      Endomorphism

    • B. 

      Auslander

    • C. 

      Artin Braid group

    • D. 

      Reiten

  • 4. 
    In Hecke Algebra of coxeter group, what does R have? 
    • A. 

      Isomorphic variable

    • B. 

      Identity

    • C. 

      Ring

    • D. 

      Valency

  • 5. 
    The element of natural basis is which of the following?
    • A. 

      Multiplicative

    • B. 

      Additive

    • C. 

      Inverse

    • D. 

      Coherent

  • 6. 
    Who discovered the quantum groups?
    • A. 

      Hecke

    • B. 

      Lamar Jumbo

    • C. 

      Eric Iwahori

    • D. 

      Michio Jimbo

  • 7. 
    How many relation does the multiparameter Hecke Algebra have?
    • A. 

      3

    • B. 

      4

    • C. 

      2

    • D. 

      Infinite

  • 8. 
    Who proposed Hecke Algebra to be the foundation of Topological Quantum computation?
    • A. 

      Jon Bakery

    • B. 

      Mike Fred

    • C. 

      Michael Freedman

    • D. 

      Iwahori

  • 9. 
    What does R stand for in Hecke Algebra of a coxeter group?
    • A. 

      Cummulative Ring

    • B. 

      Associative ring

    • C. 

      Artinian Ring

    • D. 

      Commutative ring

  • 10. 
    Which of these has been an advantage of the representation of Hecke Algebra?
    • A. 

      Discovery of Quantum groups

    • B. 

      Dissociation of nuclear formular

    • C. 

      Discovery of Artinian Rings

    • D. 

      Increase in algebra scope