التفاصيل البيبلوغرافية
| العنوان: |
On the Sn-module structure of the noncommutative harmonics |
| المؤلفون: |
Briand, Emmanuel, Rosas Celis, Mercedes Helena, Zabrocki, Mike |
| المساهمون: |
Universidad de Sevilla. Departamento de álgebra, Ministerio de Educación y Ciencia (MEC). España |
| بيانات النشر: |
Elsevier |
| سنة النشر: |
2016 |
| المجموعة: |
idUS - Deposito de Investigación Universidad de Sevilla |
| مصطلحات موضوعية: |
proper multilinear polynomials, free Lie algebra, harmonics, coinvariants, symmetric functions, noncommutative polynomials, tensor algebra |
| الوصف: |
Using the a noncommutative version of Chevalley’s theorem due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute the graded Frobenius series for their two sets of noncommutative harmonics with respect to the left action of the symmetric group (acting on variables). We use these results to derive the Frobenius series for the enveloping algebra of the derived free Lie algebra in n variables. ; Ministerio de Educación y Ciencia |
| نوع الوثيقة: |
article in journal/newspaper |
| اللغة: |
English |
| Relation: |
Journal of Combinatorial Theory, Series A, 115 (6), 1077-1085.; http://dx.doi.org/10.1016/j.jcta.2007.10.005; https://idus.us.es/handle/11441/41690 |
| الاتاحة: |
https://idus.us.es/handle/11441/41690 |
| Rights: |
Attribution-NonCommercial-NoDerivatives 4.0 Internacional ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: |
edsbas.E2DB324D |
| قاعدة البيانات: |
BASE |