Contravariant forms and extremal projectors
Quantum Algebra
2019-11-26 v2
Abstract
Tensor product of irreducible modules of highest weight over a semi-simple quantum group is semi-simple if and only if a natural contravariant form is non-degenerate when restricted to the span of singular vectors. We express this restriction through the extremal projector of the quantum group providing a computationally feasible criterion for complete reducibility of tensor products.
Keywords
Cite
@article{arxiv.1911.09933,
title = {Contravariant forms and extremal projectors},
author = {Andrey Mudrov},
journal= {arXiv preprint arXiv:1911.09933},
year = {2019}
}
Comments
21 pages, a typo corrected