User:Cmd.ncc1701d/Books/Algebraic
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Algebraic Structures
[edit]- Group (mathematics)
- Group theory
- Glossary of group theory
- Finite group
- Subgroup
- Normal subgroup
- Quotient group
- Semidirect product
- Direct product of groups
- Group homomorphism
- Image (mathematics)
- Direct sum of groups
- Wreath product
- Simple group
- Infinite group
- Topological group
- Multiplicative group
- Group scheme
- Cyclic group
- Abelian group
- Dihedral group
- Nilpotent group
- Solvable group
- Discrete group
- Classification of finite simple groups
- Symmetric group
- Alternating group
- Mathieu group
- Mathieu group M11
- Mathieu group M12
- Mathieu group M22
- Mathieu group M23
- Mathieu group M24
- Conway group
- Conway group Co1
- Conway group Co2
- Conway group Co3
- Janko group J1
- Hall–Janko group
- Janko group J3
- Janko group J4
- Fischer group
- Fischer group Fi22
- Fischer group Fi23
- Fischer group Fi24
- Baby Monster group
- Monster group
- Lattice (discrete subgroup)
- Integer
- Lattice (group)
- Modular group
- Solenoid (mathematics)
- Circle group
- General linear group
- Special linear group
- Orthogonal group
- Euclidean group
- Unitary group
- Special unitary group
- Symplectic group
- G2 (mathematics)
- F4 (mathematics)
- E6 (mathematics)
- E7 (mathematics)
- E8 (mathematics)
- Lorentz group
- Poincaré group
- Conformal group
- Diffeomorphism
- Loop group
- Lie group
- List of simple Lie groups
- Classical group
- Simple Lie group
- Table of Lie groups
- Lie algebra
- Exponential map
- Adjoint representation
- Adjoint representation of a Lie algebra
- Killing form
- Index of a Lie algebra
- Lie point symmetry
- Semisimple Lie algebra
- Dynkin diagram
- Cartan subalgebra
- Root system
- Weyl group
- Real form (Lie theory)
- Complexification (Lie group)
- Split Lie algebra
- Compact Lie algebra
- Homogeneous space
- Borel–de Siebenthal theory
- Borel subgroup
- Symmetric space
- Hermitian symmetric space
- Restricted root system
- Representation theory
- Representation of a Lie group
- Lie algebra representation
- Particle physics and representation theory
- Representation theory of the Lorentz group
- Representation theory of the Poincaré group
- Representation theory of the Galilean group
- Sophus Lie
- Henri Poincaré
- Wilhelm Killing
- Élie Cartan
- Hermann Weyl
- Claude Chevalley
- Harish-Chandra
- Armand Borel
- Algebraic group
- Elliptic curve
- Linear algebraic group
- Abelian variety
- Semigroup
- Monoid
- Racks and quandles
- Quasigroup
- Magma (algebra)
- Ring (mathematics)
- Semiring
- Near-ring
- Commutative ring
- Ring theory
- Subring
- Ideal (ring theory)
- Ring homomorphism
- Frobenius endomorphism
- Algebraic number theory
- Algebraic geometry
- Affine variety
- Algebraic number field
- Ring of integers
- Polynomial ring
- Quotient ring
- Fractional ideal
- Total quotient ring
- Noncommutative ring
- Operator algebra
- Hopkins–Levitzki theorem
- Noetherian ring
- Artinian ring
- Domain (ring theory)
- Integral domain
- Field (mathematics)
- Lattice (order)
- Semilattice
- Map of lattices
- Module (mathematics)
- Group with operators
- Vector space
- Algebra over a field
- Associative algebra
- Non-associative algebra
- Graded ring
- Bialgebra