Triangular Products of Group Representations and Their Applications
Language: English
Published by Birkhäuser, Birkhäuser Feb 2012, 2012
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -The construction considered in these notes is based on a very simple idea. Let (A, G ) and (B, G ) be two group representations, for definiteness faithful and finite 1 2 dimensional, over an arbitrary field. We shall say that a faithful representation (V, G) is an extension of (A, G ) by (B, G ) if there is a G-submodule W of V such that 1 2 the naturally arising representations (W, G) and (V/W, G) are isomorphic, modulo their kernels, to (A, G ) and (B, G ) respectively. 1 2 Question. Among all the extensions of (A, G ) by (B, G ), does there exist 1 2 such a 'universal' extension which contains an isomorphic copy of any other one The answer is in the affirmative. Really, let dim A = m and dim B = n, then the groups G and G may be considered as matrix groups of degrees m and n 1 2 respectively. If (V, G) is an extension of (A, G ) by (B, G ) then, under certain 1 2 choice of a basis in V, all elements of G are represented by (m + n) x (m + n) mat rices of the form (\*) ~1-~ ~-J lh I g2 I .Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 144 pp. Englisch.…
Seller Inventory # 9781468467239
- Title
- Triangular Products of Group Representations and Their Applications
- Author
- S. M. Vovsi
- Publisher
- Birkhäuser, Birkhäuser Feb 2012
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 1468467239
- ISBN 13
- 9781468467239
- Item weight
- 230 grams
- Dimensions
- 235x155x9 mm
"Synopsis" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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