Abstract:
Hilbert series for the graded algebras of comitants $S_{1,4}$ and invariants $SI_{1,4}$ of differential system are constructed and with their help the Krull dimensions of these algebras are determined. The lower bounds for the number of the types of generators for the algebras $S_{1,4}$ and $SI_{1,4}$ are obtained.
Keywords and phrases:differential system, invariants and comitants of differential systems, Hilbert series, dimension of Krull.
Fulltext:
PDF file (146 kB)