Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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TRILINEAR FORMS AND THE SPACE OF COMTRANS ALGEBRAS

  • IM, BOKHEE (Department of Mathematics Chonnam National University) ;
  • SMITH, JONATHAN D.H. (Department of Mathematics Iowa State University)
  • Received : 2005.08.12
  • Accepted : 2005.10.25
  • Published : 2005.12.25
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Abstract

Comtrans algebras are modules equipped with two trilinear operations: a left alternative commutator and a translator satisfying the Jacobi identity, the commutator and translator being connected by the so-called comtrans identity. These identities have analogues for trilinear forms. On a given vector space, the set of all comtrans algebra structures itself forms a vector space. In this paper, the dimension of the space of comtrans algebra structures on a finite-dimensional vector space is determined.

Keywords

Acknowledgement

Supported by : Chonnam National University

References

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