What Do You Know About Schur Algebras?

10 Questions | Total Attempts: 100

SettingsSettingsSettings
What Do You Know About Schur Algebras? - Quiz

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.


Questions and Answers
  • 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

Back to Top Back to top