AbstractEvery transvection A in the symplectic group Sp(2n, q), q a power of an odd prime, is a product of transvections Ti, where all Ti are in the same conjugacy class C of transvections. For each transformation A we determine the length of A, i.e., we find the least number of transvections in C required to express A
Let $s$ be an $n$-dimensional symplectic form over an arbitrary field with characteristic not $2$, w...
AbstractLet k be a field and n⩾1 an integer. We study the action of the symplectic group over k on t...
Let G = U(2m, F(q2)) be the finite unitary group, with q the power of an odd prime p. We prove that ...
AbstractEvery transvection A in the symplectic group Sp(2n, q), q a power of an odd prime, is a prod...
AbstractThe transvections in any one conjugacy class Λ generate the symplectic group Sp(2n, 3) over ...
AbstractEvery element in the symplectic group over the field of p-adic numbers (p>3) is a product of...
In this note we give a self-contained proof of the following classification (up to conjugation) of s...
peer reviewedIn this note we give a self-contained proof of the following classification (up to conj...
In this note, we give a self-contained proof of the following classification (up to conjugation) of...
In 1955, in [2], Dieudonne, observing that each symplectic group Sp(V) is generated by its transvect...
AbstractLet V be a finite-dimensional right vector space over the quaternions H. Each transformation...
AbstractIt is known that the symplectic groupSp2n(p) has two (complex conjugate) irreducible represe...
AbstractProctor defined combinatorially a family of Laurent Polynomials, called odd symplectic Schur...
peer reviewedThis article is the second part of a series of three articles about compatible systems ...
International audienceAn important problem from invariant theory is to describe the subspace of a te...
Let $s$ be an $n$-dimensional symplectic form over an arbitrary field with characteristic not $2$, w...
AbstractLet k be a field and n⩾1 an integer. We study the action of the symplectic group over k on t...
Let G = U(2m, F(q2)) be the finite unitary group, with q the power of an odd prime p. We prove that ...
AbstractEvery transvection A in the symplectic group Sp(2n, q), q a power of an odd prime, is a prod...
AbstractThe transvections in any one conjugacy class Λ generate the symplectic group Sp(2n, 3) over ...
AbstractEvery element in the symplectic group over the field of p-adic numbers (p>3) is a product of...
In this note we give a self-contained proof of the following classification (up to conjugation) of s...
peer reviewedIn this note we give a self-contained proof of the following classification (up to conj...
In this note, we give a self-contained proof of the following classification (up to conjugation) of...
In 1955, in [2], Dieudonne, observing that each symplectic group Sp(V) is generated by its transvect...
AbstractLet V be a finite-dimensional right vector space over the quaternions H. Each transformation...
AbstractIt is known that the symplectic groupSp2n(p) has two (complex conjugate) irreducible represe...
AbstractProctor defined combinatorially a family of Laurent Polynomials, called odd symplectic Schur...
peer reviewedThis article is the second part of a series of three articles about compatible systems ...
International audienceAn important problem from invariant theory is to describe the subspace of a te...
Let $s$ be an $n$-dimensional symplectic form over an arbitrary field with characteristic not $2$, w...
AbstractLet k be a field and n⩾1 an integer. We study the action of the symplectic group over k on t...
Let G = U(2m, F(q2)) be the finite unitary group, with q the power of an odd prime p. We prove that ...
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