A New Multiplicity Formula for the Weyl Modules of Type A

Jiachen Ye; Zhongguo Zhou

doi:10.1080/00927870500274465

A New Multiplicity Formula for the Weyl Modules of Type A

Representation Theory 2009-12-23 v1

Authors: Jiachen Ye , Zhongguo Zhou

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Abstract

A monomial basis and a filtration of subalgebras for the universal enveloping algebra $U(g_l)$ of a complex simple Lie algebra $g_l$ of type $A_l$ is given in this note. In particular, a new multiplicity formula for the Weyl module $V(\lambda)$ of $U(g_l)$ is obtained in this note.

Keywords

weyl modules type a multiplicity formula universal enveloping algebra monomial basis

Cite

@article{arxiv.math/0309303,
  title  = {A New Multiplicity Formula for the Weyl Modules of Type A},
  author = {Jiachen Ye and Zhongguo Zhou},
  journal= {arXiv preprint arXiv:math/0309303},
  year   = {2009}
}

Comments

13 pages

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