Geodesic
Enumerations of ideals in niltriangular subalgebra of Chevalley algebras
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 271-277 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $N\Phi(K)$ be the niltriangular subalgebra of Chevalley algebra over a field $K$ associated with a root system $\Phi$. We consider certain non-associative enveloping algebras for some Lie algebra $N\Phi(K)$. We also study the problem of enumeration of standard ideals in algebra $N\Phi(K)$ over any finite field $K;$ for classical Lie types this is the problem which was written earlier (2001).
Keywords: Chevalley algebra, enveloping algebra, ideal.
Mots-clés : niltriangular subalgebra 
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Nikolay D. Hodyunya. Enumerations of ideals in niltriangular subalgebra of Chevalley algebras. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 271-277. http://geodesic.mathdoc.fr/item/JSFU_2018_11_3_a0/

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