Related papers: Combinatorial shifting and graded Betti numbers

This paper has been withdrawn as it has been superseded by 0808.2697

This paper has been withdrawn by the author.

The paper has been withdrawn.

This paper has been withdrawn by the authors.

This paper has been withdrawn, as all conjectures (and one claim) have been proven incorrect. Some of what remains may eventually reappear in a different context.

This paper has been withdrawn.

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

This paper has been withdrawn.

This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.

%auto-ignore The paper has been withdrawn by authors. The completely revised version can be found under the following preprint-no: hep-ph/9910282.

This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.

This paper has been withdrawn by the author, because a better treatment is given in the author's Phd. thesis (Sections 3.4.6 and 4.4), now available on the arxiv.

This paper has been withdrawn, and will be superseded by another submission.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn.

This paper has been withdrawn. The contents of this paper can now be found in 0907.3000, which combines the erstwhile 0901.2981 and 0901.2982 in a somewhat compact form.

The paper has been withdrawn by the author.