Almost cyclic elements in Weil representations of finite classical groups
نویسندگان
چکیده
منابع مشابه
Corrigendum to “the Weil-steinberg Character of Finite Classical Groups”
This paper corrects the statement and the proof of Theorem 1.5 of the paper quoted in the title (Represent. Theory 13 (2009), 427–459). Theorem 1.5 of our paper [1] requires a correction. Below we provide a new statement of this theorem and correct the proof. A mistake in the original proof of Theorem 1.5 is due to missing the multiple 2 at a certain point of the proof (see [1, page 456, line 2...
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1 An algebra H(Gm) of double-cosets is constructed for every finite Weilrepresentation Gm. For the Clifford-Weil groups Gm = Cm(ρ) associated to some classical Type ρ of self-dual codes over a finite field, this algebra is shown to be commutative. Then the eigenspace-decomposition ofH(Cm(ρ)) acting on the space of degree N invariants of Cm(ρ) may be obtained from the kernels of powers of the co...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2018
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2018.1435787