How Much Do You Know About Restricted Representation

10 Questions | Total Attempts: 102

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How Much Do You Know About Restricted Representation - Quiz

In mathematics, there's a thing called restricted representation. It is described as the construction in the representation of groups. In other words, these representations supposedly form a representation of a whole group. So, what do you know about this theory? Try our quiz and see if you have enough knowledge to successfully complete it.


Questions and Answers
  • 1. 
    What's explicit symmetry breaking?
    • A. 

      It's the breaking of a symmetry of a theory by terms in its defining equations of motion that do not respect the symmetry.

    • B. 

      It's the breaking of a shape by terms in its defining equations of motion that do not respect the symmetry.

    • C. 

      It's the breaking of a symmetry of a theory by terms in its defining equations of motion that do not respect the theory.

    • D. 

      It's the breaking of a symmetry of a calculations by terms in its defining equations of motion that do not respect the symmetry.

  • 2. 
    What's a symmetry group?
    • A. 

      It's the group of all transformation under which the object is variant.

    • B. 

      It's the group of all transformation under which the object is invariant with composition as the group operation

    • C. 

      It's the group of all transformation under which the object is variant with composition as the group operation

    • D. 

      It's all transformations under which the object is invariant with composition as the group operation

  • 3. 
    What's quantum mechanics?
    • A. 

      It's the theory in physics which describes plants at the smallest scales of energy .

    • B. 

      It's the fundamental theory in biology which describes nature at the smallest scales of energy .

    • C. 

      It's the fundamental theory in physics which describes nature at the smallest scales of energy .

    • D. 

      It's the fundamental theory in mathematics which describes nature at the smallest scales of energy .

  • 4. 
    What's Frobenius reciprocity?
    • A. 

      It's a theorem expressing a duality between the process of adding and inducing.

    • B. 

      It's a theorem expressing a duality between the process of restricting and cutting.

    • C. 

      It's a theorem expressing a duality between the process of restricting and changing.

    • D. 

      It's a theorem expressing a duality between the process of restricting and inducing.

  • 5. 
    What's the Stark effect?
    • A. 

      It's the shifting and splitting of spectral lines of atoms and molecules due to presence of an external electric field.

    • B. 

      It's the splitting of spectral lines of atoms and molecules due to presence of an external electric field.

    • C. 

      It's the shifting of spectral lines of atoms and molecules due to presence of an external electric field.

    • D. 

      It's the shifting and splitting of lines of molecules due to presence of an external electric field.

  • 6. 
    What does the Clifford theory do? 
    • A. 

      It describes the relation between representation of a normal subgroup.

    • B. 

      It describes the relation between a group and those of a normal subgroup.

    • C. 

      It describes the relation between representation of a group and those of a normal subgroup.

    • D. 

      It describes the relation between representation of a group and those of a normal different group.

  • 7. 
    What's group homomorphism?
    • A. 

      It's from the function h:G----H such that for all U and V in G it holds that H(u*v)=h(v)

    • B. 

      It's from the function h:G----H such that for all V in G it holds that H(u*v)=h(u).h(v)

    • C. 

      It's from the function h:G----H such that for all U and V in G it holds that H(u*v)=h(u).h(v)

    • D. 

      It's from the function h:G----H

  • 8. 
    What is ring mathematics?
    • A. 

      It's a fundamental algebraic structure used in abstract algebraic

    • B. 

      It's a fundamental algebraic structure used in geometry

    • C. 

      It's a fundamental algebraic structure used in biology

    • D. 

      It's a fundamental algebraic structure used in physics

  • 9. 
    What's a vector space?
    • A. 

      It's a collection of objects called functions.

    • B. 

      It's a collection of objects called identities.

    • C. 

      It's a collection of objects called vectors.

    • D. 

      It's a collection of objects called algebras.

  • 10. 
    What are quaternions?
    • A. 

      They are a number system that extends the complex number.

    • B. 

      They are a number system that extends the simple number.

    • C. 

      They are a number system that extends a function

    • D. 

      They are a number system that extends a mathematical identity.

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