Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SOME BRANCHING FORMULAS FOR KAC-MOODY LIE ALGEBRAS

  • Received : 2018.09.04
  • Accepted : 2019.02.14
  • Published : 2019.10.31
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Abstract

In this paper we give some branching rules for the fundamental representations of Kac-Moody Lie algebras associated to T-shaped graphs. These formulas are useful to describe generators of the generic rings for free resolutions of length three described in [7]. We also make some conjectures about the generic rings.

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Acknowledgement

Supported by : Simons Foundation, NSF

References

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