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.
- 1.
![What can Hecke Algebra be interpreted as? - ProProfs]( "What can Hecke Algebra be interpreted as?")
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? - ProProfs]( "Which of these is a deformation of coxeter groups?")
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? - ProProfs]( "Hecke Algebra are quotient of which type of ring?")
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? - ProProfs]( "In Hecke Algebra of coxeter group, what does R have?")
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? - ProProfs]( "The element of natural basis is which of the following?")
The element of natural basis is which of the following?- A.
Multiplicative
- B.
Additive
- C.
Inverse
- D.
Coherent
- 6.
![Who discovered the quantum groups? - ProProfs]( "Who discovered the quantum groups?")
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? - ProProfs]( "How many relation does the multiparameter Hecke Algebra have?")
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? - ProProfs]( "Who proposed Hecke Algebra to be the foundation of Topological Quantum computation?")
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? - ProProfs]( "What does R stand for in Hecke Algebra of a coxeter group?")
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? - ProProfs]( "Which of these has been an advantage of the representation of Hecke Algebra?")
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
Questions: 35 | Attempts: 18759 | Last updated: Oct 1, 2020
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