MATH380 index
A
B
C D G
H
I
L
M
N
O
P Q
R S
T
Algebra: Lec 3, Sec 2.2.
Algebraic integer: Lec 12, Sec 1.1.
Algebraic number: Lec 12, Sec 1.1.
Averaging idempotent: Lec 6, Sec 1.1.
Bilinear map: Lec 3, Sec 2.1.
Center of an algebra: Lec 8, Sec 1.1.
Character of a representation: Lec 1, Sec 3.
Class functions on a group (denoted by Gl(G)): Lec 1, Sec 3.
Commutator (in a group): Lec 5, Sec 1.1.
Complement(ary) subrepresentation: Lec 5, Sec 2.
Completely reducible representation: Lec 5, Sec 2.
Conjugate (of an algebraic number): Lec 12, Sec 1.1.
Derived subgroup: Lec 5, Sec 1.1.
Direct sum of representations: Lec 2, Sec 2.1.
Dual representation (of a group): Lec 4, Sec 2.2.
General linear group (denoted GL(V) or GL_n(F)): Lec 1, Sec 1.
Group algebra: Lec 3, Sec 3.2.
Homomorphism of representations: Lec 3, Sec 1.
Hom representation (of a group): Lec 4, Sec 2.2.
Induced representation: Lec 14, Sec 1.1.
Irreducible representation: Lec 1, Sec 2 and Lec 5, Sec 1.
Isomorphic representations: Lec 3, Sec 1.
Isomorphism of representations: Lec 3, Sec 1.
Left ideal: Lec 19, Sec 2.1.
Minimal polynomial: Lec 12, Sec 1.1.
Module over an associative (unital) algebra: Lec 3, Sec 2.3.
Multiplicity (of an irreducible representation): Lec 6, Sec 2.
Nilpotent ideal: Lec 23, Sec 1.1.
Opposite algebra: Lec 7, Sec 3.
Permutation representation (of a symmetric group): Lec 2, Sec 1.
Projector (to a subspace): Lec 6, Sec 1.2.
Proper subrepresentation: Lec 5, Sec 1.
Pullback of a representation: Lec 2, Sec 2.4.
Quaternions: Lec 7, Sec 3.1.
Quotient representation: Lec 2, Sec 2.3.
Radical: Lec 23, Sec 1.1.
Regular representation (of a finite group): Lec 2, Sec 1.
Regular module (over an associative algebra): Lec 3, Sec 2.3.
Representation of a group: Lec 1, Sec 1.
Representation of an associative (unital) algebra: Lec 3, Sec 2.3.
Restriction of a representation: Lec 2, Sec 2.4
Right ideal: Lec 19, Sec 2.1.
Right module: Lec 19, Sec 2.1.
Semisimple algebras: Lec 19, Sec 1.2.
Sign representation (of a symmetric group): Lec 5, Sec 1.2.
Simple algebras: Lec 19, Sec 1.1.
Simple groups: Lec 1, Sec 4.
Skew-field (a.k.a. division ring): Lec 7, Sec 3.
Subrepresentation: Lec 2, Sec 2.2.
Symmetric polynomial: Lec 12, Sec 2.1.
Tensor monomials: Lec 4, Sec 1.1.
Tensor product of vector spaces: Lec 4, Sec 1.2.
Tensor product of representations of a group: Lec 4, Sec 2.1.
Trace form: Lec 23, Sec 1.2.
Trivial representation of a group: Lec 4, Sec 2.2.
Two-sided ideal: Lec 19, Sec 1.1.