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The hit problem for W(4) over F2 by the differential operator algebra

Posted on:2003-08-16Degree:Ph.DType:Dissertation
University:The Johns Hopkins UniversityCandidate:Yang, HeminFull Text:PDF
GTID:1460390011483904Subject:Mathematics
Abstract/Summary:
In this paper, we not only determine a basis of the quotient of W(4), the polynomial algebra over F 2 generated by 4 variables, by the action of the divided differential operator algebra D , we are able to represent every element in the quotient as a linear combination of the basis elements. This leads to a description of the action of the symmetric group S4 too.
Keywords/Search Tags:Differential operator
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