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On the Universal Embedding of the Sp2n(2) Dual Polar Space

โœ Scribed by Paul Li

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
162 KB
Volume
94
Category
Article
ISSN
0097-3165

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โœฆ Synopsis

A. E. Brouwer has shown that the universal embedding of the Sp 2n (2) dual polar space has dimension at least (2 n +1)(2 n&1 +1)ร‚3 and has conjectured equality. The present paper settles this conjecture in the affirmative by proving a theorem about permutation modules for GL n (2) which implies the reverse inequality.

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