We show that the permutation module over ℂ afforded by the action of Sp2m 2f on its natural module is isomorphic to the permutation module over ℂ afforded by the action of Sp2m 2 f on the union of the right cosets of O2m+ 2f and O2m-. ©2013 Australian Mathematical Publishing Association Inc.
Guest, S., Previtali, A., Spiga, P. (2014). A remark on the permutation representations afforded by the embeddings of O±2m (2f ) in Sp2m(2 f). BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 89(2), 331-336 [10.1017/S0004972713000828].
A remark on the permutation representations afforded by the embeddings of O±2m (2f ) in Sp2m(2 f)
PREVITALI, ANDREASecondo
;SPIGA, PABLOUltimo
2014
Abstract
We show that the permutation module over ℂ afforded by the action of Sp2m 2f on its natural module is isomorphic to the permutation module over ℂ afforded by the action of Sp2m 2 f on the union of the right cosets of O2m+ 2f and O2m-. ©2013 Australian Mathematical Publishing Association Inc.
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