Complements on disconnected reductive groups
نویسندگان
چکیده
منابع مشابه
On Unipotent Supports of Reductive Groups With a Disconnected Centre
Let G be a simple algebraic group defined over a finite field of good characteristic, with associated Frobenius endomorphism F. In this article we extend an observation of Lusztig, (which gives a numerical relationship between an ordinary character of GF and its unipotent support), to the case where Z(G) is disconnected. We then use this observation in some applications to the ordinary characte...
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Throughout this paper, G denotes a fixed, not necessarily connected, reductive algebraic group over an algebraically closed field k. This paper is a part of a series [L9] which attempts to develop a theory of character sheaves on G. The numbering of the sections and references continues that of the earlier Parts. Section 23 is a generalization of results in [L3, II,§7]. It is a preparation for ...
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Throughout this paper, G denotes a fixed, not necessarily connected, reductive algebraic group over an algebraically closed field k with a fixed connected component D which generates G. This paper is a part of a series [L9] which attempts to develop a theory of character sheaves on D. Our main result here is the classification of ”unipotent” character sheaves on D (under a mild assumption on th...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2015
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2015.279.203