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Higher-Order Syzygies for the Bracket Algebra and for the Ring of Coordinates of the Grassmanian

David Anick and Gian-Carlo Rota
Proceedings of the National Academy of Sciences of the United States of America
Vol. 88, No. 18 (Sep. 15, 1991), pp. 8087-8090
Stable URL: http://www.jstor.org/stable/2357546
Page Count: 4
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Higher-Order Syzygies for the Bracket Algebra and for the Ring of Coordinates of the Grassmanian
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Abstract

A Poincare resolution is given for the supersymmetric ring of brackets over a signed alphabet. As a consequence, a resolution is found for the ring of coordinates of the Grassmanian variety in projective space over any infinite field.

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