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If A is a unital Banach algebra where every nonzero element is invertible, then A is the algebra of complex numbers.

A unar is an algebra A=(A,f), where f is a single unary operation.

A set considered together with the sigma-algebra on the set.

A set equipped with a sigma-algebra of subsets.

The double covering group of the (linear) symplectic group.

A nonsingular linear map A:R^n->R^n is orientation-reversing if det(A)<0.

A real-linear vector space H equipped with a symplectic form s.

A linear combination of basis quaternions with integer coefficients.

The rank of a matrix or a linear transformation is the dimension of the image of the matrix or the linear transformation, corresponding to the number of linearly independent ...

A nonsingular linear map A:R^n->R^n is orientation-preserving if det(A)>0.