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On twisted tensor product group embeddings and the spin representation of symplectic groups
-
Antonio Cossidente
and
Oliver H King
Published/Copyright:
February 16, 2007
Abstract
We describe an alternative perspective for at least some of the subgroups in Aschbacher's class C9. Then we show that under the twisted tensor product embedding of the groups PSp2(qt) and PSp4(qt) in orthogonal groups over GF(q), t ≥ 3, q ≥ 4 even, an intermediate embedding of type C3 occurs.
Key Words: Twisted tensor product representation; spin representation; partial ovoid; alternating product
Received: 2005-02-10
Revised: 2005-07-18
Published Online: 2007-02-16
Published in Print: 2007-01-26
© Walter de Gruyter 2007
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Articles in the same Issue
- The ovoidal hyperplanes of a dual polar space of rank 4
- Jørgensen's inequality for metric spaces with application to the octonions
- On multiple blocking sets in Galois planes
- On twisted tensor product group embeddings and the spin representation of symplectic groups
- Projective ovoids and generalized quadrangles
- Multiple farthest points on Alexandrov surfaces
- Stiefel—Whitney classes for coherent real analytic sheaves
- On Weddle surfaces and their moduli
- Lower bounds for the first eigenvalue of the p-Laplace operator on compact manifolds with nonnegative Ricci curvature
Keywords for this article
Twisted tensor product representation;
spin representation;
partial ovoid;
alternating product
Articles in the same Issue
- The ovoidal hyperplanes of a dual polar space of rank 4
- Jørgensen's inequality for metric spaces with application to the octonions
- On multiple blocking sets in Galois planes
- On twisted tensor product group embeddings and the spin representation of symplectic groups
- Projective ovoids and generalized quadrangles
- Multiple farthest points on Alexandrov surfaces
- Stiefel—Whitney classes for coherent real analytic sheaves
- On Weddle surfaces and their moduli
- Lower bounds for the first eigenvalue of the p-Laplace operator on compact manifolds with nonnegative Ricci curvature
