Let V be a finite dimensional vector space over a field K of characteristic / 2, and b: the orthogonal group of b. Another orthogonal representation Ž . Ž . Ј: G ª O bЈ is orthogonally equi¨alent to if there is an isometry : Ž . VªVЈwhich commutes with the action of G, i.e., satisfies bЈ u, Ž . sb
Equivalence of Uniform Orthogonal Representations of Finite Groups
✍ Scribed by C. Riehm
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 211 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
Let V be a finite dimensional vector space over a field K of characteristic / 2, and b:
the orthogonal group of b. Another orthogonal representation Ž . Ž . Ј: G ª O bЈ is orthogonally equi¨alent to if there is an isometry : Ž . VªVЈwhich commutes with the action of G, i.e., satisfies bЈ u, Ž . sb u, ¨for all u, ¨g V and makes the diagrams Ž . s
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