Unipotent variety in the group compactification
نویسندگان
چکیده
منابع مشابه
Unipotent Variety in the Group Compactification
Abstract. The unipotent variety of a reductive algebraic group G plays an important role in the representation theory. In this paper, we will consider the closure Ū of the unipotent variety in the De Concini-Procesi compactification Ḡ of a quasisimple, adjoint group G. We will prove that Ū − U is a union of some G-stable pieces introduced by Lusztig in [L4]. This was first conjectured by Luszti...
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Introduction. Suppose that G is a reductive algebraic group defined over Q. There occurs in the trace formula a remarkable distribution on G(A)l which is supported on the unipotent set. It is defined quite concretely in terms of a certain integral over G(Q)\G(A)1. Despite its explicit description, however, this distribution is not easily expressed locally, in terms of integrals on the groups G(...
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The group generated by unipotent n X n complex matrices is SL„(C), and every member of the latter is a product of three unipotent matrices. The group generated by unipotent operators on Hilbert space Jf is GL(Jf ), and every invertible operator is a product of six unipotent operators of order 2. An operator U on a Hilbert space is called unipotent [3, p. 100] if U = 1 + N, where N is nilpotent....
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2006
ISSN: 0001-8708
DOI: 10.1016/j.aim.2005.04.004