Decomposition of tensor spaces into irreducible tensor subspaces
Language: English
Published by LAP LAMBERT Academic Publishing Okt 2012, 2012
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -The work is organized as follows: We give basic definitions from group theory and group representations, with some examples. We represent all the irreducible representations of the symmetry group S(n), we define the notion of the Young diagram and show that the number of inequivalent irreducible representation of S(n) is the same as the number of different Young diagrams. We also define the Hook formula for dimensions. We give a background of algebraic material and define the Young symmetrizer operator. We give a brief introduction to tensor algebra. In order to clarify the relation between the group GL(V) (in this paper we concentrate on the group S(n)GL(V)) and the tensor space we give an alternative definition of the tensor space T^(n)(V) as C[S(n)]-Module. The standard tableau are defined and the corresponding decomposition of the tensor space is given. We decompose the spaces T^(2)(V); T^(3)(V) and T^(4)(V). We decompose the tensor spaces for n = 2; 3; 4 according to the subgroup O(n) of GL(V). In this work we are dealing with a 'bare' vector space. Our main aim is to study the irreducible tensor decompositions of vector spaces with additional structures.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 64 pp. Englisch.…
Seller Inventory # 9783659273667
- Title
- Decomposition of tensor spaces into irreducible tensor subspaces
- Author
- Ophir Nave
- Publisher
- LAP LAMBERT Academic Publishing Okt 2012
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 365927366X
- ISBN 13
- 9783659273667
- Item weight
- 113 grams
- Dimensions
- 220x150x5 mm
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buchversandmimpf2000
Emtmannsberg, BAYE, Germany
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