Add to ORKGTo the memory of my mother Abstract. Consider the Deligne-Simpson problem: give necessary and sufficient conditions for the choice of the conjugacy classes Cj ⊂ GL(n,C) (resp. cj ⊂ gl(n,C)) so that there exist irreducible (p+1)-tuples of matrices Mj ∈ Cj (resp. Aj ∈ cj) satisfying the equality M1...Mp+1 = I (resp. A1+...+Ap+1 = 0). The matricesMj and Aj 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 Mj (resp. Aj) which are rigid, i.e. unique up to conjugacy once the classes Cj (resp. cj) are fixed. For rigid representations the sum of the dimensions of the classes Cj (resp. cj) equals 2
A finitely generated group Γ is called representation rigid (briefly, rigid) if for every n, Γ has o...
There has recently been ample interest in the question of which sets can be represented by linear ma...
AbstractThe complexity of the conjugacy problem CPM for monoids given by presentations of the form (...
*Research partially supported by INTAS grant 97-1644.Consider the Deligne-Simpson problem: give nece...
AbstractThe Deligne–Simpson problem (DSP) (respectively the weak DSP) is formulated like this: give ...
Research partially supported by INTAS grant 97-1644We consider the variety of (p + 1)-tuples of matr...
AbstractWe consider the Deligne–Simpson problem (DSP) (respectively the weak DSP): Give necessary an...
AbstractWe construct examples of linearly rigid tuples which lead to regular Galois realizations ove...
A square matrix V is called rigid if every matrix V ′ obtained by altering a small number of entries...
AbstractThe rigidity function RA(r) of a matrix A is the minimum number of entries of A that must be...
AbstractWe introduce a family of algebras which are multiplicative analogues of preprojective algebr...
The problem of finding a curl–free matrix–valued field E with values in an assigned set of matrices ...
A finitely generated group Γ is called representation rigid (briefly, rigid) if for every n , Γ has ...
The notion of matrix rigidity was introduced by L. Valiant in 1977. He proved a theorem that relates...
We classify representations of a class of Deligne-Mostow lattices into PGL(3, C). In particular, we ...
A finitely generated group Γ is called representation rigid (briefly, rigid) if for every n, Γ has o...
There has recently been ample interest in the question of which sets can be represented by linear ma...
AbstractThe complexity of the conjugacy problem CPM for monoids given by presentations of the form (...
*Research partially supported by INTAS grant 97-1644.Consider the Deligne-Simpson problem: give nece...
AbstractThe Deligne–Simpson problem (DSP) (respectively the weak DSP) is formulated like this: give ...
Research partially supported by INTAS grant 97-1644We consider the variety of (p + 1)-tuples of matr...
AbstractWe consider the Deligne–Simpson problem (DSP) (respectively the weak DSP): Give necessary an...
AbstractWe construct examples of linearly rigid tuples which lead to regular Galois realizations ove...
A square matrix V is called rigid if every matrix V ′ obtained by altering a small number of entries...
AbstractThe rigidity function RA(r) of a matrix A is the minimum number of entries of A that must be...
AbstractWe introduce a family of algebras which are multiplicative analogues of preprojective algebr...
The problem of finding a curl–free matrix–valued field E with values in an assigned set of matrices ...
A finitely generated group Γ is called representation rigid (briefly, rigid) if for every n , Γ has ...
The notion of matrix rigidity was introduced by L. Valiant in 1977. He proved a theorem that relates...
We classify representations of a class of Deligne-Mostow lattices into PGL(3, C). In particular, we ...
A finitely generated group Γ is called representation rigid (briefly, rigid) if for every n, Γ has o...
There has recently been ample interest in the question of which sets can be represented by linear ma...
AbstractThe complexity of the conjugacy problem CPM for monoids given by presentations of the form (...