Example image of eyePlorer eyePlorer map for 'Unitary group': Group (mathematics) Mathematics Matrix multiplication Unitary matrix General linear group Subgroup Circle group Lie group Commutator Lie algebra Lie bracket Skew-Hermitian matrix Identity matrix Determinant Group homomorphism Kernel (algebra) Special unitary group Exact sequence Semidirect product Center (group theory) Nonabelian group Schur's lemma Normal subgroup Semisimple Euclidean space Subspace topology Compact space Connected space Heine–Borel theorem Diagonalizable matrix Path (topology) Simply connected space Circle Fundamental group Stiefel manifold Orthogonal group Symplectic group Almost complex manifold Almost symplectic manifold Hermitian manifold Riemannian manifold Maximal compact subgroup Projective unitary group Subquotient G-structure Group of Lie type Lie theory Algebraic group Automorphism Complex conjugate