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Integral forms of linear algebraic groups

✍ Scribed by T. V. Fomina

Publisher
SP MAIK Nauka/Interperiodica
Year
1997
Tongue
English
Weight
457 KB
Volume
61
Category
Article
ISSN
0001-4346

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. where β€«ήšβ€¬ is the set of all 1 = k integral matrices k-tuples , N is a nonsingular integral k = k matrix, and a w is a k = 1 matrix with entries from A. Here juxtaposition denotes the ordinary matrix and scalar multi-Ε½ . w plications. Thus adj N a is a k = 1 matrix of certain integral linear w y1 w

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The general problem underlying this article is to give a qualitative classification Ž . of all compact subgroups ⌫ ; GL F , where F is a local field and n is arbitrary. It is natural to ask whether ⌫ is an open compact subgroup of H E , where H is a linear algebraic group over a closed subfield E ;