Pieri type rules and $GL(2|2)$ tensor products
Representation Theory
2020-02-06 v3 Mathematical Physics
math.MP
Abstract
We derive a closed formula for the tensor product of a family of mixed tensors using Deligne's interpolating category . We use this formula to compute the tensor product between any two maximal atypical irreducible -representations.
Keywords
Cite
@article{arxiv.1509.07443,
title = {Pieri type rules and $GL(2|2)$ tensor products},
author = {Th. Heidersdorf and R. Weissauer},
journal= {arXiv preprint arXiv:1509.07443},
year = {2020}
}
Comments
v3: Some beautifications. To appear in 'Algebra and Representation Theory' v2: Extended some results from n=2 to arbitrary n. Comments welcome