Lie algebras

[681/68%]

Subtopics

Commuting matrices and matrix commutators[337/64%]
Pauli and Dirac matrices[61/56%]
Heisenberg group and Heisenberg algebra[39/64%]
Representations of Lie algebras[39/82%]
Classical matrix Lie algebras[33/91%]
Verifying bases and commutator tables of small concrete Lie algebras[32/69%]
Lie algebras of differential operators[24/75%]
Lie bracket and involutivity of distributions[23/83%]
One-parameter subgroups and the exponential map[23/78%]
SU(2) double cover of SO(3)[19/63%]
Elements of pseudo-orthogonal, pseudo-unitary and symplectic groups[18/61%]
Simple, semisimple and reductive Lie algebras[16/94%]
Lie bracket / Jacobi identity manipulation[15/80%]
Cartan subalgebras and root systems[14/86%]
Lie algebra realizations via Kronecker products[12/58%]
Adjoint representation of a Lie group, its kernel and simplicity[8/0%]
Killing form[8/88%]
Solvable and nilpotent Lie algebras[8/75%]
Casimir operators[6/100%]
Infinite-dimensional Lie algebras[6/100%]
Lie algebra of a matrix Lie group[6/83%]
Lie superalgebras[6/83%]
Classification of low-dimensional Lie algebras[4/50%]
Free Lie algebras and Witt's formula[4/50%]
Adjoint representation (faithfulness on semisimple Lie algebras)[2/100%]
Levi decomposition theorem[1/100%]