Given an n ร n nilpotent matrix over an algebraically closed field K, we prove some properties of the set of all the n ร n nilpotent matrices over K which commute with it. Then we give a proof of the irreducibility of the variety of all the pairs (A, B) of n ร n nilpotent matrices over K such that [
โฆ LIBER โฆ
On the Beauville form of the known irreducible symplectic varieties
โ Scribed by Antonio Rapagnetta
- Book ID
- 105873372
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 295 KB
- Volume
- 340
- Category
- Article
- ISSN
- 0025-5831
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We show that if P is a Sylow 2-subgroup of the finite symplectic group m ลฝ . ## Sp q , where q is a power of 2, then P has irreducible complex characters of 2 m m yt mลฝ my1.r2 w x degree 2 q , where t is any integer satisfying 0 F t F mr2 , and that q mลฝ my1.r2 is the largest possible degree of a