The Enumeration of own $t$-Dimensional Subspaces of a Space $V_{m}$ over the Field $GF(q)$

In the Chevalley algebra over a field K associated with any system of roots, it is allocated the niltriangular subalgebra NΦ(K) with the basis $\{e_{r}(r\in \Phi ^{+}) \}$. In 2001 G.P. Egorychev and V.M. Levchuk had been put two problems of a enumeration of ideals: special ideals in the algebra...

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Bibliographic Details
Main Author: G. Egorychev
Format: Article
Language:English
Published: Irkutsk State University 2016-09-01
Series:Известия Иркутского государственного университета: Серия "Математика"
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Online Access:http://isu.ru/journal/downloadArticle?article=_af423ce4f0b745fe914f1da90b2557e9&lang=rus