What Do You Know About Schur Algebras?
Schur algebras are useful in the field of representation theory under the science of structure, order, and relation otherwise known as mathematics. They are specific limited-dimensional algebras intently connected with Schur–Weyl duality between general symmetric and linear groups. To find out more about Schur algebras, take this short, intelligent quiz.
- 1.
Schur algebras are named after who?- A.
Isa Schur
- B.
Issai Schur
- C.
Issac Schur
- D.
Mathew Schur
- 2.
Who widely promoted the use of Schur algebras?
- A.
A. J. Green
- B.
J. A. Green
- C.
C. J. Green
- D.
J. C. Green
- 3.
Schur algebras were used by which duo to prove finite generation of cohomology of finite group schemes?
- A.
Friedlander and Suslin
- B.
Karin and Edman
- C.
Suslin and Edman
- D.
Friedlander and Karin
- 4.
Who put forth generalized Schur algebras?
- A.
Suslin
- B.
Donkin
- C.
Edman
- D.
Karin
- 5.
In which decade were generalised Schur algebras introduced?
- A.
1970s
- B.
1980s
- C.
1990s
- D.
2000s
- 6.
Which duo introduced quantized Schur algebras?
- A.
Suslin and James
- B.
Edward and Dipper
- C.
James and Karin
- D.
Dipper and James
- 7.
Schur algebras have which global dimensions?
- A.
Finite
- B.
Infinite
- C.
Semi-finite
- D.
Semi-infinite
- 8.
The name Schur algebra was because of who?
- A.
Suslin
- B.
Issai
- C.
Green
- D.
Karin
- 9.
In which year was the monograph used to introduce Schur algebras published?
- A.
1978
- B.
1979
- C.
1980
- D.
1981
- E.
1982
- 10.
In the modular case, Schur algebras were used by which duo to show that the problems of computing decomposition numbers for general linear groups and symmetric groups are actually equivalent?
- A.
Gordon James and Karin Erdmann
- B.
James Redman and Suslin Piers
- C.
Gordon James and Karin Redman
- D.
Michael Redman and Suslin Piers
Questions: 35 | Attempts: 27537 | Last updated: Mar 22, 2022
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