10 Questions

Questions and Answers

- 1.Who was Hopf named after?
- A.
Heinz Hopf

- B.
Lucas Hopf

- C.
Hermes Hopf

- D.
Herman Hopf

- 2.The representation theory of Hopf algebra allows for construction of the following except one; which one?
- A.
Trivial representations

- B.
Dual representations

- C.
Tensor products of representation

- D.
Bilateral representation

- 3.What of these do Hopf algebras have NO application in?
- A.
Quantum field theory

- B.
String theory

- C.
Projectiles

- D.
LHC phenomenology

- 4.If the antipode S2 = idH, the Hopf algebra is said to be what?
- A.
Evolutive

- B.
Involutive

- C.
Finite

- D.
Infinite

- 5.One of the notions of Hopf algebra is that it is an abstraction of properties of which of these?
- A.
Lie algebra

- B.
Boolean algebra

- C.
Fourier algebra

- D.
Group algebra

- 6.What is the unit of Hopf algebras?
- A.
Single elements

- B.
Multi-elements

- C.
Poly elements

- D.
Group-like elements

- 7.A group-like element is a _______ element.
- A.
Non-zero

- B.
Zero

- C.
Prime

- D.
Linear

- 8.A finite groupoid algebra is categorized as what? A...
- A.
Weak Hopf algebra

- B.
Strong Hopf algebra

- C.
Dual Hopf algebra

- D.
Group Hopf algebra

- 9.If G is taken to be a set instead of a module, the field K will be replaced by what? A/an...
- A.
3-point set

- B.
2-point set

- C.
1-point set

- D.
0-point set

- 10.What is the property defined by E: H -> R?
- A.
Co-commutative

- B.
Co-additive

- C.
Comultiplication

- D.
Commutative