Pieri type rules and $GL(2|2)$ tensor products

التفاصيل البيبلوغرافية
العنوان: Pieri type rules and $GL(2|2)$ tensor products
المؤلفون: Heidersdorf, Th., Weissauer, R.
سنة النشر: 2015
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematics - Representation Theory, Mathematical Physics, 17B10, 17B20
الوصف: 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
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1509.07443
رقم الانضمام: edsarx.1509.07443
قاعدة البيانات: arXiv