Equivalence classes of the 3 rd Grassman space over a 5 -dimensional vector space

Kuldip Singh

International Journal of Mathematics and Mathematical Sciences, 1978, vol. 1, 1-9

Abstract:

An equivalence relation is defined on Λ r V , the r t h Grassman space over V and the problem of the determnation of the equivalence classes defined by this relation is considered. For any r and V , the decomposable elements form an equivalence class. For r = 2 , the length of the element determines the equivalence class that it is in. Elements of the same length are equivalent, those of unequal lengths are inequivalent. When r ≥ 3 , the length is no longer a sufficient indicator, except when the length is one. Besides these general questions, the equivalence classes of Λ 3 V , when dim V = 5 are determined.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:417536

DOI: 10.1155/S0161171278000320

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