Homology, Homotopy and Applications

Volume 4 (2002)

Number 2

The Roos Festschrift volume

Some conjectures about the Hilbert series of generic ideals in the exterior algebra

Pages: 409 – 426

DOI: http://dx.doi.org/10.4310/HHA.2002.v4.n2.a19

Authors

Guillermo Moreno-Socías (Laboratoire GAGE, École Polytechnique, Palaiseau, France)

Jan Snellman (Department of Mathematics, Linköping University, Linköping, Sweden)

Abstract

We calculate the Hilbert series of a quotient of the exterior algebra by a generic form of even degree, and give conjectures about the Hilbert series of other generic quotients.

Keywords

exterior algebra, generic ideals, Hilbert series

2010 Mathematics Subject Classification

13D40, 15A75

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