Titlebook: Naive Lie Theory; John Stillwell Textbook 2008 Springer-Verlag New York 2008 Matrix.Symmetry group.algebra.lie algebra.lie group.linear al

CUR

獨(dú)行者

名義上

Laconic

Canvas

Groups,This chapter begins by reviewing some basic group theory—subgroups, quotients, homomorphisms, and isomorphisms—in order to have a basis for discussing Lie groups in general and simple Lie groups in particular.

allergy

BIPED

The exponential map,This line is (in a sense we explain below) the . to the circle at its identity element 1. And, in fact, any Lie group has a linear space (of the same dimension as the group) as its tangent space at the identity.

peak-flow

切掉

erythema

Topology,One of the essential properties of a Lie group . is that the product and inverse operations on . are . functions. Consequently, there comes a point in Lie theory where it is necessary to study the theory of continuity, that is, .. Our journey has now reached that point.