Abstract:
Let NΦ(K)NΦ(K) be the niltriangular subalgebra of Chevalley algebra over a field KK associated with a root system ΦΦ. We consider certain non-associative enveloping algebras for some Lie algebra NΦ(K)NΦ(K). We also study the problem of enumeration of standard ideals in algebra NΦ(K)NΦ(K) over any finite field K;K; for classical Lie types this is the problem which was written earlier (2001).
The author was supported by RFBR (project no. 16-01-00707).
Received: 18.11.2017 Received in revised form: 20.12.2017 Accepted: 20.02.2018
Bibliographic databases:
Document Type:
Article
UDC:
519.11+512.5
Language: English
Citation:
Nikolay D. Hodyunya, “Enumerations of ideals in niltriangular subalgebra of Chevalley algebras”, J. Sib. Fed. Univ. Math. Phys., 11:3 (2018), 271–277
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\by Nikolay~D.~Hodyunya
\paper Enumerations of ideals in niltriangular subalgebra of Chevalley algebras
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 3
\pages 271--277
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\crossref{https://doi.org/10.17516/1997-1397-2018-11-3-271-277}
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This publication is cited in the following 1 articles:
V. M. Levchuk, G. S. Suleimanova, N. D. Khodyunya, “Nonassociative enveloping algebras of chevalley algebras”, Tr. Inst. Mat. Mekhaniki URO RAN, 26:3 (2020), 91+
Citation in format AMSBIB
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