Some examples of rigid representations
| dc.creator | Kostov, Vladimir | |
| dc.date | 2000-06-03 | |
| dc.date.accessioned | 2026-07-07T04:35:42Z | |
| dc.date.available | 2026-07-07T04:35:42Z | |
| dc.description | Consider the Deligne-Simpson problem: {\em give necessary and sufficient conditions for the choice of the conjugacy classes $C_j\subset GL(n,{\bf C})$ (resp. $c_j\subset gl(n,{\bf C})$) so that there exist irreducible $(p+1)$-tuples of matrices $M_j\in C_j$ (resp. $A_j\in c_j$) satisfying the equality $M_1... M_{p+1}=I$ (resp. $A_1+... +A_{p+1}=0$)}. The matrices $M_j$ and $A_j$ are interpreted as monodromy operators and as matrices-residua of fuchsian systems on Riemann's sphere. We give new examples of existence of such $(p+1)$-tuples of matrices $M_j$ (resp. $A_j$) which are {\em rigid}, i.e. unique up to conjugacy once the classes $C_j$ (resp. $c_j$) are fixed. For rigid representations the sum of the dimensions of the classes $C_j$ (resp. $c_j$) equals $2n^2-2$. | |
| dc.identifier | https://arxiv.org/abs/math/0006021 | |
| dc.identifier | http://arxiv.org/abs/math/0006021 | |
| dc.identifier | Serdica Math. Journal, vol. 26, no. 3 (2000), p. 253-276 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59341 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.title | Some examples of rigid representations | |
| dc.type | text |