High Quality Content by WIKIPEDIA articles! An affine representation of a topological (Lie) group G on an affine space A is a continuous (smooth) group homomorphism from G to the automorphism group of A, the affine group Aff(A). Similarly, an affine representation of a Lie algebra g on A is a Lie algebra homomorphism from g to the Lie algebra aff(A) of the affine group of A.An example is the action of the Euclidean group E(n) upon the Euclidean space En.Since the affine group in dimension n is a matrix group in dimension n + 1, an affine representation may be thought of as a particular kind of linear representation. We may ask whether a given affine representation has a fixed point in the given affine space A.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.