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Cross characteristic representations of symplectic and unitary groups

✍ Scribed by Robert M. Guralnick; Kay Magaard; Jan Saxl; Pham Huu Tiep

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
487 KB
Volume
257
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

Some Characterizations of the Weil Repre
Some Characterizations of the Weil Representations of the Symplectic and Unitary Groups
✍ Pham Huu Tiep; Alexander E. Zalesskii πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 425 KB

Let G be a finite symplectic or unitary group. We characterize the Weil representations of G via their restriction to a standard subgroup. Then we complete the determination of complex representations of G with specific minimal polynomials of certain elements by showing that they coincide with the W

Symplectic Representations of Inertia Gr
Symplectic Representations of Inertia Groups
✍ A Silverberg; Yu.G Zarhin πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 95 KB

2 g l Ε½ . Ε½ . which are not conjugate, even in GL Q , to a subgroup of Sp Z . 2 g l 2 g l Ε½ . However, it turns out and this is the main result of this paper that every 1 Silverberg thanks NSA and the Alexander-von-Humboldt Stiftung for financial support, and H. Lange and the Mathematics Institute

Cross Characteristic Projective Represen
Cross Characteristic Projective Representations for Some Classical Groups
✍ Corneliu Hoffman πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 111 KB

Let G p n be a finite simple group of Lie type and let V be a projective irreducible representation of G p n over a field of characteristic different from p. Lower bounds for the dimension of V have been computed in [V. LandΓ‘zuri and G. M.