Separation of multiple points of spectrum in the reduction sp(2n) ↓ sp(2n — 2)
✍ Scribed by V. V. Shtepin
- Book ID
- 105064308
- Publisher
- Springer US
- Year
- 1987
- Tongue
- English
- Weight
- 209 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0016-2663
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📜 SIMILAR VOLUMES
Each symplectic group over the field of two elements has two exceptional doubly transitive actions on sets of quadratic forms on the defining symplectic vector space. This paper studies the associated 2-modular permutation modules. Filtrations of these modules are constructed which have subquotients
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)Â3 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