VOCABULARY
MTH 679 — Spring 2016
(last updated 5/5/16)
Algebra
- (anti)symmetric
- associative
- basis
- characteristic equation
- change of basis
- commutative
- commutator
- conjugate
- determinant
- division algebra
- dual space
- eigenvector/eigenvalue
- exponential
- group
- group action
- (anti)Hermitian
- homomorphism
- ideal
- inner product
- invariant
- isomorphism
- Lie bracket
- linear (in)dependence
- normal subgroup
- octonion
- orbit
- orthogonal
- Pauli matrices
- quaternion
- stabilizer
- subgroup
- symmetry
- trace
- transpose
- unitary
- vector space
Geometry
- commutator
- coordinate atlas
- (co)tangent bundle
- covariant derivative
- differential form
- dot product
- Euler angles
- fiber bundle
- isometry
- manifold
- symmetry
- tangent space
- vector field