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- W2950296094 abstract "Let G be a connected unipotent group over a finite field F_q with q elements. In this article we propose a definition of L-packets of complex irreducible representations of the finite group G(F_q) and give an explicit description of L-packets in terms of the so-called admissible pairs for G. We then apply our results to show that if the centralizer of every geometric point of G is connected, then the dimension of every complex irreducible representation of G(F_q) is a power of q, confirming a conjecture of V. Drinfeld. This paper is the first in a series of three papers exploring the relationship between representations of a group of the form G(F_q) (where G is a unipotent algebraic group over F_q), the geometry of G, and the theory of character sheaves." @default.
- W2950296094 created "2019-06-27" @default.
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- W2950296094 date "2007-12-17" @default.
- W2950296094 modified "2023-09-27" @default.
- W2950296094 title "Characters of unipotent groups over finite fields" @default.
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