A correspondence between boundary coefficients of real flag manifolds and height of roots

التفاصيل البيبلوغرافية
العنوان: A correspondence between boundary coefficients of real flag manifolds and height of roots
المؤلفون: Lambert, Jordan, Rabelo, Lonardo
المصدر: Journal of Lie Theory 32 (2022), No. 2, 431--446
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Topology, Primary: 05A05, 14M15, 57T15
الوصف: In this paper we prove a new formula for the coefficients of the cellular homology of real flag manifolds in terms of the height of certain roots. In particular, for flag manifolds of type A, we get a very simple formula for these coefficients and an explicit expression for the first and second homology groups with integer coefficients.
Comment: 14 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2009.05114
رقم الأكسشن: edsarx.2009.05114
قاعدة البيانات: arXiv