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Homology Bases Arising from Reductive Groups Over a Finite Field

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Part of the book series: NATO ASI Series ((ASIC,volume 517))

Abstract

Let G be a connected reductive algebraic group over k, an algebraic closure of a finite field F q with q elements. Assume that we are given an F q -rational structure on G with Frobenius map F: G G. Let \(\bar{\mathbb{Q}}{{}_{l}}\) be an algebraic closure of the l-adic numbers (l is a fixed prime number, invertible in F q ).

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References

  1. Broué, M., Malle, G. and Michel, J. (1993) Generic blocks of finite reductive groups, Astérisque 212, 7–92.

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© 1998 Springer Science+Business Media Dordrecht

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Lusztig, G. (1998). Homology Bases Arising from Reductive Groups Over a Finite Field. In: Carter, R.W., Saxl, J. (eds) Algebraic Groups and their Representations. NATO ASI Series, vol 517. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5308-9_4

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  • DOI: https://doi.org/10.1007/978-94-011-5308-9_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5292-1

  • Online ISBN: 978-94-011-5308-9

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