What Do You Know About Steinberg's Formula?

10 Questions | Total Attempts: 104

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What Do You Know About Steinberg

In the representation theory branch of mathematics, Steinberg's formula (or Steinberg formula) is the description of the variety of an unchangeable representation of a semisimple complex Lie polynomial and algebra in a tensor result of two final and irreducible representations. It is the same as the Clebsch–Gordan formula occasionally and an aftermath of the Weyl character formula.


Questions and Answers
  • 1. 
    When was Steinberg's formula introduced?
    • A. 

      1961

    • B. 

      1962

    • C. 

      1963

    • D. 

      1964

  • 2. 
    What is a mathematical expression that can be evaluated in a finite number of operations?
    • A. 

      Closed-form expression

    • B. 

      Unitary representation

    • C. 

      Denominator formulation

    • D. 

      Multiplicity determinant

  • 3. 
    Which parameter of the Steinberg's formula describes the characters of irreducible representations of compact Lie groups in terms of their highest weights?
    • A. 

      Konstant Partition

    • B. 

      Schur's theory

    • C. 

      Unitary representation

    • D. 

      Weyl character formula

  • 4. 
    How many parts has the Peter–Weyl theorem?
    • A. 

      1

    • B. 

      2

    • C. 

      3

    • D. 

      4

  • 5. 
    What is a compact, connected, abelian Lie subgroup in a compact Lie group?  
    • A. 

      Rank

    • B. 

      Maxim

    • C. 

      Torus

    • D. 

      Portion

  • 6. 
    Which is these is the dimension of a maximal torus in a compact Lie group called?
    • A. 

      Rank

    • B. 

      Deil

    • C. 

      Area

    • D. 

      Tori

  • 7. 
    Which is a type of graph with some edges doubled or tripled?
    • A. 

      Brown's curve

    • B. 

      Linc's curve

    • C. 

      Linc's diagram

    • D. 

      Dynkin diagram

  • 8. 
    What is an abstract group that admits a formal description in terms of reflections or kaleidoscopic mirrors?
    • A. 

      Coxeter group

    • B. 

      Lyman group

    • C. 

      Linc group

    • D. 

      Approxi group

  • 9. 
    Which is a part of the Peter–Weyl theorem?
    • A. 

      The complete reducibility of unitary representations of a compact Lie group

    • B. 

      The orthonormal basis of unitary representations of a compact Lie group

    • C. 

      The decomposition of square functions of a compact Lie group

    • D. 

      The harmonic analysis of unitary representations of a compact Lie group

  • 10. 
    When was the Weyl character formula first proved?
    • A. 

      1920

    • B. 

      1925

    • C. 

      1930

    • D. 

      1935

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