10 Questions

Questions and Answers

- 1.What's duality?
- A.
It's a group of mathematical structures into other concepts.

- B.
It's a group of theorems into other concepts.

- C.
It's a group of operations into other concepts.

- D.
It's a group of concepts, theorems/mathematical structures into other concepts.

- 2.What is a (B, N) pair?
- A.
It is a structure or groups of Lie type that allows 2 to give uniform proofs of many results.

- B.
It is a structure or groups of Lie type that allows 3 to give uniform proofs of many results.

- C.
It is a structure or groups of Lie type that allows 4 to give uniform proofs of many results.

- D.
It is a structure or groups of Lie type that allows 1 to give uniform proofs of many results.

- 3.What's a parabolic induction?
- A.
It's a method of constructing representation of a reductive group from representation of its common subgroups.

- B.
It's a method of constructing representation of a inclusive group from representation of its parabolic subgroups.

- C.
It's a method of constructing representation of a reductive group from representation of its parabolic subgroups.

- D.
It's a method of constructing representation of a reductive group from representation of its subgroups.

- 4.What's the other term for Steinberg representation?
- A.
Steinberg plan

- B.
Steinberg module

- C.
Steinberg multiplication

- D.
Steinberg addition

- 5.What's the other term for cuspidal representation?
- A.
Cuspidal identity

- B.
Cuspidal formula

- C.
Cuspidal division

- D.
Cuspidal character

- 6.What's the Gelfand-Graev representation?
- A.
It's a representation of a reductive group over a infinite field.

- B.
It's a representation of a inclusive group over a finite field.

- C.
It's a representation of a reductive group over a finite field.

- D.
It's a representation of a reductive group over a great field.

- 7.What is the Alvis Curtis Duality?
- A.
It is an isometry on generalized addition

- B.
It is an isometry on generalized multiplication

- C.
It is an isometry on generalized functions

- D.
It is an isometry on generalized characters

- 8.What's an idempotent?
- A.
It denotes an element of a set that is unchanged in value when multiplied or otherwise operated on by itself.

- B.
It denotes several elements of a set that is unchanged in value when multiplied or otherwise operated on by itself.

- C.
It denotes 10 elements of a curve that is unchanged in value when added or otherwise operated on by itself.

- D.
It denotes an element of on a curve that is unchanged in value when divided or otherwise operated on by itself.

- 9.Who invented the Alvis Curtis duality?
- A.
Charles W.Curtis

- B.
Dean Alvis

- C.
Kawanaka

- D.
Carter

- 10.In what years was this theory invented?
- A.
1979

- B.
1980

- C.
1950

- D.
1880