# ON THE HOMOLOGY OF SCHUR COMPLEXES

• Choi, Eun-J. (Department of Mathematics Yonsei University) ;
• Kim, Young-H. (Department of Mathematics Yonsei University) ;
• Kyoung, Il-H. (Department of Mathematics Yonsei University) ;
• Won, Seung-J. (Department of Mathematics Yonsei University)
• Published : 2002.07.01
• 76 8

#### Abstract

We give an upper bound for the degrees of the nonvanishing homology modules of the Schur complex L$\sub$λ/${\mu}$/ø in terms of the depths of the determinantal ideals of ø). Using this fact, we obtain the acyclic theorem for L$\sub$λ/ø and the information concerning the support of the homology modules of L$\sub$λ/${\mu}$/ø.

#### Keywords

determinantal ideal;minimal free resolution;schur complex

#### References

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