Special Issue for Papers from the Conference in Honor of the 80th Birthday of Professor Boris I. PlotkinNo Access

FIXED VECTORS FOR ELEMENTS IN MODULES FOR ALGEBRAIC GROUPS

IRINA D. SUPRUNENKO

Institute of Mathematics, National Academy of Sciences of Belarus, 11 Surganov str., Minsk, 220072, Belarus

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and

ALEXANDRE E. ZALESSKI

National Academy of Sciences of Belarus, Minsk, 220072, Belarus

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https://doi.org/10.1142/S0218196707004001Cited by:12 (Source: Crossref)

Abstract

We provide conditions guaranteeing that a given element of a simple algebraic group G has a fixed vector in every nonzero G-module, and deduce similar results for finite Chevalley groups.

For Professor B. I. Plotkin in honor of his 80th birthday

Keywords:

AMSC: 20G05

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