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Generalized Verma modules over sl(n+2) induced from u(h(n))-free sl(n+1)-modules
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China; Wu Wen Tsun Key Laboratory of Mathematics, Chinese Academy of Science, School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, China.
School of Mathematics and Statistics, Henan University, Kaifeng, China.
Örebro University, School of Science and Technology. Department of Mathematics.
College of Mathematics and Information Science, Hebei Normal (Teachers) University, Shijiazhuang, Hebei, China; Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada.
2018 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 502, p. 146-162Article in journal (Refereed) Published
Abstract [en]

A class of generalized Verma modules over sl(n+2) are constructed from sl(n+1)-modules which are u(h(n))-free modules of rank 1. The necessary and sufficient conditions for these sl(n+2)-modules to be simple are determined. This leads to a class of new simple sl(n+2)-modules.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 502, p. 146-162
Keywords [en]
Generalized Verma module, Simple module, sl(n+2)
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:oru:diva-66644DOI: 10.1016/j.jalgebra.2018.01.019ISI: 000428834300010Scopus ID: 2-s2.0-85044856904OAI: oai:DiVA.org:oru-66644DiVA, id: diva2:1198954
Funder
The Royal Swedish Academy of Sciences
Note

Funding Agencies:

NSFC  11401551  11301143  11771122  11271109  11471233 

China Scholarship Council  201306340058 

China Postdoctoral Science Foundation  2016M600140 

School fund of Henan University  2012YBZR031  yqpy20140044 

NSERC  311907-2015 

Available from: 2018-04-19 Created: 2018-04-19 Last updated: 2018-04-19Bibliographically approved

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Nilsson, Jonathan

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