Group representation

Symplectic representation

A symplectic representation of is a group homomorphism into the symplectic group #m/def/rep2 where is a symplectic vector space. Thus is a group representation of carried by such that

for all and where is the symplectic form.

Properties

• A group representation is self-dual iff it preserves a nondegenerate bilinear form

#state/tidy | #lang/en | #SemBr