| Orders of the Renner Monoids of Adjoint Type |
| Received:June 06, 2006 Revised:March 23, 2007 |
| Key Words:
Renner monoid Weyl group type map ${\cal J}$-irreducible monoid order.
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| Fund Project:the National Natural Science Foundation of China (No. 10471116). |
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| Abstract: |
| In this paper, we find the orders of the Renner monoids for $\cal J$-irreducible monoids $\overline{K^* \rho(G)}$, where $G$ is a simple algebraic group over an algebraically closed field $K$, and $\rho: G\to {\rm GL}(V)$ is the irreducible representation associated with the highest root. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.01.013 |
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