Turkish Journal of Mathematics
DOI
-
Abstract
We introduce the notion of modular symmetry classes of tensors and give a necessary and sufficient condition for a modular symmetry class of tensors associated with the full symmetric group to be non-zero. Then we use modular symmetry classes of tensors to study the polynomial representations of $GL(V)$, where $V$ is a vector space over a field of characterisitic $p$. At the end we introduce a non-degenerate bilinear form on a modular symmetry class. Some problems are also given.
First Page
417
Last Page
434
Recommended Citation
SHAHRYARI, M. and SHAHABI, M. A. (1999) "Modular Symmetry Classes of Tensors," Turkish Journal of Mathematics: Vol. 23: No. 3, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol23/iss3/7
