In homological algebra, Whitehead's lemmas (named after J. H. C. Whitehead) represent a series of statements regarding representation theory of finite-dimensional...

connected compact Lie group Whitehead's lemma (Lie algebras) Kazhdan–Lusztig conjectures Quillen's lemma - analog of Schur's lemma Hall 2015 Theorem 5...

Schanuel's lemma (projective modules) Schwartz–Zippel lemma Shapiro's lemma Stewart–Walker lemma (tensors) Whitehead's lemma (Lie algebras) Zariski's lemma Abhyankar's...

homological algebra topics, by Wikipedia page. Cokernel Exact sequence Chain complex Differential module Five lemma Short five lemma Snake lemma Nine lemma Extension...

a special case of Whitehead's lemma.) As the adjoint representation is injective, a semisimple Lie algebra is a linear Lie algebra under the adjoint representation...

treatment of Boolean algebra in English is A. N. Whitehead's 1898 Universal Algebra. Boolean algebra as an axiomatic algebraic structure in the modern...

mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables...

Lie algebras include Whitehead's lemmas, Weyl's theorem, and the Levi decomposition theorem. Let g {\displaystyle {\mathfrak {g}}} be a Lie algebra over...

methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced...

of a Lie algebra g {\displaystyle {\mathfrak {g}}} over a field of characteristic zero. The theorem is an easy consequence of Whitehead's lemma, which...