Hecke Algebra Trivia Quiz

10 Questions | By Gregorynaomi | Updated: Mar 21, 2022 | Attempts: 144

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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