Pieri type rules and $GL(2|2)$ tensor products
- Resource Type
- Working Paper
- Authors
- Heidersdorf, Th.; Weissauer, R.
- Source
- Subject
- Mathematics - Representation Theory
Mathematical Physics
17B10, 17B20
- Language
We derive a closed formula for the tensor product of a family of mixed tensors using Deligne's interpolating category $Rep(GL_{0})$. We use this formula to compute the tensor product between any two maximal atypical irreducible $GL(2|2)$-representations.
Comment: v3: Some beautifications. To appear in 'Algebra and Representation Theory' v2: Extended some results from n=2 to arbitrary n. Comments welcome