On the primitive irreducible representations of finitely generated nilpotent groups
We develop some tecniques whish allow us to apply the methods of commutative algebra for studing the representations of nilpotent groups. Using these methods, in particular, we show that any irreducible representation of a finitely generated nilpotent group G over a finitely generated field of cha...
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| Datum: | 2021 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Видавничий дім "Академперіодика" НАН України
2021
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| Schriftenreihe: | Доповіді НАН України |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the primitive irreducible representations of finitely generated nilpotent groups / A.V. Tushev // Доповіді Національної академії наук України. — 2021. — № 4. — С. 24-27. — Бібліогр.: 7 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We develop some tecniques whish allow us to apply the methods of commutative algebra for studing the representations
of nilpotent groups. Using these methods, in particular, we show that any irreducible representation of a
finitely generated nilpotent group G over a finitely generated field of characteristic zero is induced from a primitive
representation of some subgroup of G. |
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