Matrix Groups

M. L. Curtis

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Language: English

Published by Springer, Humana Okt 1984, 1984

0387960740 / 9780387960746

Series: Book 135 of 261 - Universitext

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 228 pp. Englisch.…

Seller Inventory # 9780387960746

Title
Matrix Groups
Author
M. L. Curtis
Publisher
Springer, Humana Okt 1984
Publication year
1984
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0387960740
ISBN 13
9780387960746
Edition
2nd Edition
Item weight
353 grams
Dimensions
235x155x13 mm
Series
Book 135 of 261: Universitext

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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