Lectures related to Lie Algebra: Bilinearity and Jacobi Identity

Covers exercises on Schur's lemma and the Jacobi identity in Quantum Field Theory.

Discusses quadratic forms, matrix diagonalization, and their applications in optimization problems.

Covers bilinear forms in vector spaces, their properties, orthogonality, and equivalence conditions.

Explores norm, dot product, and orthogonality in vector spaces, including properties and inequalities.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Explores phase space, the Poisson bracket, and Hamiltonian mechanics concepts.

Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Explores the definition and properties of Hermitian forms in complex vector spaces.