Тип публикации: статья из журнала

Год издания: 2001

Аннотация: We consider the maximal nilpotent subalgebra NΦ(K) of the Chevalley algebra of the type Φ?over an arbitrary field K. Our purpose is enumeration of ideals of NΦ(K) that are invariant under?the subgroup D of all diagonal automorphisms. Connections between ideals of NΦ(K) and normal?subgroups of the unipotent subgroup of the ChevalleyПоказать полностьюgroup of the type Φ over K are used. Finally, we?use methods of integral representation of sums and of listing lattice paths. We also discuss some other?problems of the enumeration of ideals.

Журнал: ACM SIGSAM Bulletin

Выпуск журнала: Т. 35, № 2

Номера страниц: 20-34

ISSN журнала: 01635824

• Egorychev G.P. (Siberian Federal University)
• Levchuk V.M. (Siberian Federal University)

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