New posts in bilinear-form

Are non-degenerate bilinear forms equivalent to isomorphisms $V \cong V^*$?

linear-algebra linear-transformations multilinear-algebra bilinear-form

Non-degenerate symmetric bilinear form; dimension formulae.

linear-algebra vector-spaces bilinear-form

In a metric Lie algebra, is the orthogonal complement of a Lie subalgebra a Lie subalgebra?

abstract-algebra lie-groups lie-algebras bilinear-form

Signature of Bilinear Form.

linear-algebra symmetric-matrices bilinear-form

Is it true that the whole space is the direct sum of a subspace and its orthogonal space?

linear-algebra geometry quadratic-forms bilinear-form symplectic-linear-algebra

Inner product of a quotient space

linear-algebra inner-products bilinear-form

Trace of a bilinear form?

geometry differential-geometry bilinear-form

Given a subspace $V$ of a metric Lie algebra, does $[[V, V], V] \subset V$ imply $[V, V] \subset V$?

abstract-algebra lie-groups lie-algebras bilinear-form

Using Lagrange's diagonalization on degenerate linear forms

linear-algebra quadratic-forms bilinear-form

Are all bilinear forms identically zero?

linear-algebra multilinear-algebra bilinear-form

Prove that bilinear form can be presented as product of linear forms if and only if it has rank one

linear-algebra matrix-rank bilinear-form

Is There a Basis Free Definition of the Pfaffian

linear-algebra multilinear-algebra bilinear-form exterior-algebra pfaffian

Simultaneous diagonlisation of two quadratic forms, one of which is positive definite

linear-algebra spectral-theory diagonalization bilinear-form

Trace as Bilinear form on a field extension

field-theory galois-theory bilinear-form

Diagonalization of a symmetric matrix over algebraically closed field

linear-algebra quadratic-forms bilinear-form

Bilinear form with symmetric "perpendicular" relation is either symmetric or skew-symmetric

linear-algebra bilinear-form

Functional Equation (no. of solutions): $f(x+y) + f(x-y) = 2f(x) + 2f(y)$

functional-equations bilinear-form

Do unital algebras induce (unique) bilinear forms?

abstract-algebra reference-request commutative-algebra trace bilinear-form

Should isometries be linear?

linear-algebra physics quadratic-forms bilinear-form

Semisimplicity of so(B)

lie-algebras bilinear-form semisimple-lie-algebras