What Do You Know About Symplectic Representations?
In the representation theory branch of mathematics, Symplectic representations are a Lie variable-based math on a symplectic vector space or a representation of a gathering which portrays a form or frame that is symplectic. If you would like to know more about this widespread type of representations, let's asses your knowledge of Symplectic representations.
- 1.
![What condition will a representation of a group G preserve ω? - ProProfs]( "What condition will a representation of a group G preserve ω?")
What condition will a representation of a group G preserve ω?- A.
W(w.v,gw)=w(v,w)
- B.
W(g.v,gw)=w(v,w)
- C.
W(g.v,vw)=w(v,w)
- D.
W(g.v,gw)=w(v,g)
- 2.
![Which indicator is used to identify Symplectic representations? - ProProfs]( "Which indicator is used to identify Symplectic representations?")
Which indicator is used to identify Symplectic representations?- A.
Frobenius-schur indicator
- B.
Thomas indicator
- C.
Abel–Jacobi theorem
- D.
Ado's theorem
- 3.
![Which other representations indicate Symplectic representations? - ProProfs]( "Which other representations indicate Symplectic representations?")
Which other representations indicate Symplectic representations?- A.
Quaternionic representations of indefinite groups
- B.
Thomas representations
- C.
Quaternionic representations of finite groups
- D.
Mathematical folding theorem
- 4.
![When effective or faithful representation is a representation (V , φ), what is the homomorphism φ? - ProProfs]( "When effective or faithful representation is a representation (V , φ), what is the homomorphism φ?")
When effective or faithful representation is a representation (V , φ), what is the homomorphism φ?- A.
Injective
- B.
Objective
- C.
Functional
- D.
Perpendicular
- 5.
![When V and W are vector spaces over F, equipped with representations φ and ψ of a group G, then what is an equivariant map from V to W? - ProProfs]( "When V and W are vector spaces over F, equipped with representations φ and ψ of a group G, then what is an equivariant map from V to W?")
When V and W are vector spaces over F, equipped with representations φ and ψ of a group G, then what is an equivariant map from V to W?- A.
Vertical map
- B.
Linear map
- C.
Functional map
- D.
Horizontal map
- 6.
![When α is said to be invertible, what is this called? - ProProfs]( "When α is said to be invertible, what is this called?")
When α is said to be invertible, what is this called?- A.
Functional point
- B.
Repression
- C.
Isomorphism
- D.
Dual movement
- 7.
![What does the definition of an irreducible representation simple imply? - ProProfs]( "What does the definition of an irreducible representation simple imply?")
What does the definition of an irreducible representation simple imply?- A.
Dual movement
- B.
Schur's lemma
- C.
Division algebra
- D.
Endomorphisms
- 8.
![When a representation is the direct sum of two proper nontrivial subrepresentations, what is it said to be? - ProProfs]( "When a representation is the direct sum of two proper nontrivial subrepresentations, what is it said to be?")
When a representation is the direct sum of two proper nontrivial subrepresentations, what is it said to be?- A.
Repressed
- B.
Dimensional
- C.
Decomposable
- D.
Rational
- 9.
![What do we call the situation when the duality between the circle group S 1 and the integer Z?
The analysis of the... - ProProfs]( "What do we call the situation when the duality between the circle group S 1 and the integer Z?
The analysis of the...")
What do we call the situation when the duality between the circle group S 1 and the integer Z? The analysis of the...- A.
Theory of Fourier series
- B.
Carter theory
- C.
Birkhoff's theorem
- D.
Cartan–Dieudonné theorem
- 10.
![Which symbol represents Symplectic vector space? - ProProfs]( "Which symbol represents Symplectic vector space?")
Which symbol represents Symplectic vector space?- A.
(V,W)
- B.
(V,U)
- C.
(W, V)
- D.
(S, U)
Questions: 12 | Attempts: 5563824 | Last updated: Jun 15, 2021
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