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Beschreibung

These notes were developed from a course taught at Rice Univ- sity in the spring of 1976 and again at the University of Hawaii in the spring of 1977. It is assumed that the students know some linear algebra and a little about differentiation of vector-valued functions. The idea is to introduce students to some of the concepts of Lie group theory-- all done at the concrete level of matrix groups. As much as we could, we motivated developments as a means of deciding when two matrix groups (with different definitions) are isomorphic. In Chapter I "group" is defined and examples are given; ho- morphism and isomorphism are defined. For a field k denotes the algebra of n x n matrices over k We recall that A E Mn(k) has an inverse if and only if det A ~ 0 , and define the general linear group GL(n,k) We construct the skew-field lli of to operate linearly on llin quaternions and note that for A E Mn(lli) we must operate on the right (since we mUltiply a vector by a scalar n on the left). So we use row vectors for R , en, llin and write xA for the row vector obtained by matrix multiplication. We get a ~omplex-valued determinant function on Mn (11) such that det A ~ 0 guarantees that A has an inverse.

Mitwirkende

Autor M. L. Curtis

Produktdetails

DUIN 125I8TT0QF0

GTIN 9780387960746

Erscheinungsdatum 31.10.1984

Sprache Englisch

Seitenanzahl 228

Produkttyp Taschenbuch

Größe 235 x 171 x 155  mm

Produktgewicht 720 g

Matrix Groups

M. L. Curtis

€ 65,99

Verkäufer: Dodax EU

Lieferdatum: zwischen Donnerstag, 13. August und Montag, 17. August

Zustand: Neu

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