Irreducibility of Generalized Baby Verma Module for sl(4, k)

LI Yi-yang

doi:10.3969/j.issn.1009-444X.2009.02.019

Volume 23 Issue 2

Jun. 2009

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Article Navigation > Journal of Shanghai University of Engineering Science > 2009 > 23(2): 181-183

LI Yi-yang. Irreducibility of Generalized Baby Verma Module for sl(4, k)[J]. Journal of Shanghai University of Engineering Science, 2009, 23(2): 181-183. doi: 10.3969/j.issn.1009-444X.2009.02.019

Citation:

LI Yi-yang. Irreducibility of Generalized Baby Verma Module for sl(4, k)[J]. Journal of Shanghai University of Engineering Science, 2009, 23(2): 181-183. doi: 10.3969/j.issn.1009-444X.2009.02.019

LI Yi-yang. Irreducibility of Generalized Baby Verma Module for sl(4, k)[J]. Journal of Shanghai University of Engineering Science, 2009, 23(2): 181-183. doi: 10.3969/j.issn.1009-444X.2009.02.019

Citation:

LI Yi-yang. Irreducibility of Generalized Baby Verma Module for sl(4, k)[J]. Journal of Shanghai University of Engineering Science, 2009, 23(2): 181-183. doi: 10.3969/j.issn.1009-444X.2009.02.019

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Irreducibility of Generalized Baby Verma Module for sl(4, k)

doi: 10.3969/j.issn.1009-444X.2009.02.019

LI Yi-yang

Publish Date: 2009-06-30

Abstract

Abstract

The irreducibility of generalized baby Verma modules was studied for sl(4, k) over prime field. By looking for the maximal weight vectors of generalized baby Verma modules, the irreducibility of generalized baby Verma modules was decided for sl(4, k) when the regular highest weight lies in the different alcoves.
- standard Levi form,
- generalized baby verma modules,
- maximal weight vectors