Lectures related to Alternating polynomial

Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.

Explores the Symmetric group, cycle notation, multiplication, the sign of a permutation, and the Alternating group.

Covers characteristic polynomials, their solutions, and roots for different types of polynomials.

Covers the ring of polynomials, focusing on coefficients and multiplication.

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.

Covers alternating and symmetric multilinear forms in vector spaces over a field.

Covers the definition and properties of multilinear forms, emphasizing linearity and applications in mathematics.