On flags and fuzzy subspaces of vector spaces
โ Scribed by G. Lubczonok; V. Murali
- Book ID
- 111715551
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 114 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let V , W be finite dimensional vector spaces over a field K, each with n distinguished subspaces, with a dimension-preserving correspondence between intersections. When does this guarantee the existence of an isomorphism between V and W matching corresponding subspaces? The setting where it happens
## Abstract Let __V__~n~(q) denote a vector space of dimension __n__ over the field with __q__ elements. A set ${\cal P}$ of subspaces of __V__~n~(q) is a __partition__ of __V__~n~(q) if every nonzero element of __V__~n~(q) is contained in exactly one element of ${\cal P}$. Suppose there exists a p