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A note on $U_n\times U_m$ modular invariants |
Published:1997-03-01
Printed: Mar 1997
Printed: Mar 1997
- Nondas E. Kechagias
Abstract
We consider the rings of invariants $R^G$, where $R$ is the symmetric
algebra of a tensor product between two vector spaces over the field $F_p$
and $G=U_n\times U_m$. A polynomial algebra is constructed and these
invariants provide Chern classes for the modular cohomology of $U_{n+m}$.
| Keywords: | Invariant theory, cohomology of the unipotent group |
| MSC Classifications: | 13F20 - Polynomial rings and ideals; rings of integer-valued polynomials [See also 11C08, 13B25] |