Journal ArticleDOI
Principal series representation of finite groups with split bn pairs
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This article is published in Communications in Algebra.The article was published on 1980-01-01. It has received 18 citations till now. The article focuses on the topics: Principal series representation.read more
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Character sheaves, V
TL;DR: The character sheaves on a connected reductive algebraic group G have been studied in this article, where it is shown that under certain assumptions, there is a natural surjective map with finite fibers from G to the set of all pairs (9, c) up to conjugacy by the Weyl group.
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Induced cuspidal representations and generalised Hecke rings
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Brauer morphism between modular Hecke algebras
TL;DR: In this article the authors consider the case of permutation modules for split BN-pairs in natural characteristic and show that they are in l-l correspondence with G-conjugacy classes of pairs (I’, rr).
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2-blocks and 2-modular characters of the Chevalley groups ₂()
Gerhard Hiss,Josephine Shamash +1 more
TL;DR: In this article, the distribution of the ordinary irreducible characters of the exceptional Chevalley group G2(q), q odd, into 2-blocks was determined by using the method of central characters.
References
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The theory of groups
TL;DR: The theory of normal subgroups and homomorphisms was introduced in this article, along with the theory of $p$-groups regular $p-groups and their relation to abelian groups.
Book
Representation Theory of Finite Groups and Associative Algebras
Charles W. Curtis,Irving Reiner +1 more
TL;DR: In this paper, the authors present a group theory representation and modular representation for algebraic number theory, including Semi-Semi-Simple Rings and Group Algebras, including Frobenius Algebraic numbers.
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On Ree’s series of simple groups
TL;DR: In this paper, Brauer et al. determined the irreducible characters of simple Lie algebras of type (G2) by means of characters, both ordinary and modular.