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Tabloids and weighted sums of characters of certain modules of the symmetric groups
| Title: | Tabloids and weighted sums of characters of certain modules of the symmetric groups |
| Authors: | Numata, Yasuhide Browse this author |
| Issue Date: | Feb-2008 |
| Publisher: | Academic Press |
| Journal Title: | European Journal of Combinatorics |
| Volume: | 29 |
| Issue: | 2 |
| Start Page: | 480 |
| End Page: | 492 |
| Publisher DOI: | 10.1016/j.ejc.2007.02.007 |
| Abstract: | We consider certain modules of the symmetric groups whose basis elements are called tabloids. Some of these modules are isomorphic to subspaces of the cohomology rings of subvarieties of flag varieties as modules of the symmetric groups. We give a combinatorial description for some weighted sums of their characters, i.e., we introduce combinatorial objects called (½; l)-tableaux and rewrite weighted sums of characters as the numbers of these combinatorial objects. We also consider the meaning of these combinatorial objects, i.e., we construct a correspondence between (½; l)-tableaux and tabloids whose images are eigenvectors of the action of an element of cycle type ½ in quotient modules. |
| Relation: | http://www.sciencedirect.com/science/journal/01956698 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/33804 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 沼田 泰英
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