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|Title:||On G2 (Fq)-invariants of representations of D4 (Fq)|
Principal series representations
|Citation:||Loke, H.Y. (2009-01-01). On G2 (Fq)-invariants of representations of D4 (Fq). Journal of Algebra 321 (1) : 1-17. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jalgebra.2008.09.027|
|Abstract:||Let Fq be a finite field of order q and whose characteristic is not equal to 2 or 3. Let G denote a split algebraic group of type D4 over Fq. It contains a split algebraic group G2 over Fq. In this paper we will state a conjecture on the dimensions of G2 (Fq)-invariant vectors on representations of G (Fq), and we will prove this conjecture in the cases where the representation of G (Fq) is a principal series representation, a generic representation, or a unipotent representation. © 2008 Elsevier Inc. All rights reserved.|
|Source Title:||Journal of Algebra|
|Appears in Collections:||Staff Publications|
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