We shall derive necessary and sufficient conditions for the nivellateur to have a group inverse over an algebraically closed field. We then extend these results to arbitrary fields.- Partially supported by FCT-'Fundacao para a Ciencia e a Tecnologia', within the project [UID-MAT-00013/2013]
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J...
AbstractIn this article, we consider two subgroups A and A′ of GLn(q) containing a fixed unipotent s...
AbstractLet k be a field of characteristic p>0 and let K=k((t)) be the field of Laurent series over ...
AbstractIn this paper we present several new characterizations of normal and Hermitian elements in r...
AbstractWe determine when there exists a nonzero homomorphism between principal series representatio...
AbstractLet G be a finite group. Berman [Dokl. Akad. Nauk 106 (1956) 767] and Witt [J. Reine Angew. ...
We study the finite groups G with a faithful irreducible character whose square is a linear combinat...
AbstractWe prove that if Uℏ(g) is a quasitriangular QUE algebra with universal R-matrix R, and Oℏ(G∗...
summary:Let $ A_1, A_2,\cdots , A_n $ be complex matrices of the same size. We show in this note tha...
The structure of the unit group of the group algebra of the dihedral group of order 6 over any finit...
AbstractTwo proofs are given of the Gohberg–Heinig formula for the inverse of a Toeplitz matrix with...
Let o be the ring of integers in a finite extension (Formula presented.) and (Formula presented.) be...
By applying multiplicate forms of the Carlitz inverse series relations to the $q$-Pfaff-Saalschtz su...
AbstractLet ξ be an algebraic number and let α,β∈Q[ξ]. A closed formula for the coordinates of the p...
We characterize the existence of the group inverse of a two by two matrix with zero (2,2) entry, ove...
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J...
AbstractIn this article, we consider two subgroups A and A′ of GLn(q) containing a fixed unipotent s...
AbstractLet k be a field of characteristic p>0 and let K=k((t)) be the field of Laurent series over ...
AbstractIn this paper we present several new characterizations of normal and Hermitian elements in r...
AbstractWe determine when there exists a nonzero homomorphism between principal series representatio...
AbstractLet G be a finite group. Berman [Dokl. Akad. Nauk 106 (1956) 767] and Witt [J. Reine Angew. ...
We study the finite groups G with a faithful irreducible character whose square is a linear combinat...
AbstractWe prove that if Uℏ(g) is a quasitriangular QUE algebra with universal R-matrix R, and Oℏ(G∗...
summary:Let $ A_1, A_2,\cdots , A_n $ be complex matrices of the same size. We show in this note tha...
The structure of the unit group of the group algebra of the dihedral group of order 6 over any finit...
AbstractTwo proofs are given of the Gohberg–Heinig formula for the inverse of a Toeplitz matrix with...
Let o be the ring of integers in a finite extension (Formula presented.) and (Formula presented.) be...
By applying multiplicate forms of the Carlitz inverse series relations to the $q$-Pfaff-Saalschtz su...
AbstractLet ξ be an algebraic number and let α,β∈Q[ξ]. A closed formula for the coordinates of the p...
We characterize the existence of the group inverse of a two by two matrix with zero (2,2) entry, ove...
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J...
AbstractIn this article, we consider two subgroups A and A′ of GLn(q) containing a fixed unipotent s...
AbstractLet k be a field of characteristic p>0 and let K=k((t)) be the field of Laurent series over ...