Hecke Algebra Trivia Quiz
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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.
- 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
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