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• W2019949211 abstract "ABSTRACT Modular irreducible p -restricted representations of algebraic groups of types E n (n=6, 7, 8) and F 4 are studied. The composition factors of the restrictions of such representations to naturally embedded A 1-subgroups are found. Jordan block sizes of root unipotent elements of such groups in the representations with locally small highest weights with respect to p are determined. Key Words: Algebraic groupsJordan blocksRepresentationsRestrictions to subgroupsUnipotent elementsMathematics Subject Classification: 20G05 ACKNOWLEDGMENTS The author is grateful to I. D. Suprunenko for a permanent attention to this work and useful comments. The research was supported by the Institute of Mathematics of the National Academy of Sciences of Belarus in the framework of the State Basic Research Programme “Mathematical Structures.” Notes #Communicated by B. Parshall." @default.
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• W2019949211 date "2005-01-26" @default.
• W2019949211 modified "2023-09-29" @default.
• W2019949211 title "RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPES<i>E</i>_<i>n</i>AND<i>F</i>₄TO NATURALLY EMBEDDED<i>A</i>₁-SUBGROUPS AND THE BEHAVIOR OF ROOT ELEMENTS" @default.
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• W2019949211 doi "https://doi.org/10.1081/agb-200040977" @default.
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