It is shown that any split product of quaternion algebras with orthogonal involution is adjoint to a Pfister form. This settles the Pfister Factor Conjecture formulated by D.B. Shapiro. A more general problem on decomposability for algebras with involution is posed and solved in the case where the algebra is equivalent to a quaternion algebra
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
International audienceLet K be a field of characteristic different from 2. It is known that a quadra...
It is shown that any split product of quaternion algebras with orthogonal involution is adjoint to a...
A formula is given for the discriminant of the tensor product of the canonical involution on a quate...
A formula is given for the discriminant of the tensor product of the canonical involution on a quate...
International audienceA theorem of Pfister asserts that every $12$-dimensional quadratic form with t...
The question of the existence of an analogue, in the framework of central simple algebras with invol...
The question of the existence of an analogue, in the framework of central simple algebras with invol...
AbstractA formula is given for the discriminant of the tensor product of the canonical involution on...
To an orthogonal or unitary involution on a central simple algebra of degree 4, or to a symplectic i...
We study central simple algebras with involution of the first kind that become hyperbolic over the f...
It is well known that a general quaternion algebra over a field F of characteristic different from 2...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomposes as ...
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
International audienceLet K be a field of characteristic different from 2. It is known that a quadra...
It is shown that any split product of quaternion algebras with orthogonal involution is adjoint to a...
A formula is given for the discriminant of the tensor product of the canonical involution on a quate...
A formula is given for the discriminant of the tensor product of the canonical involution on a quate...
International audienceA theorem of Pfister asserts that every $12$-dimensional quadratic form with t...
The question of the existence of an analogue, in the framework of central simple algebras with invol...
The question of the existence of an analogue, in the framework of central simple algebras with invol...
AbstractA formula is given for the discriminant of the tensor product of the canonical involution on...
To an orthogonal or unitary involution on a central simple algebra of degree 4, or to a symplectic i...
We study central simple algebras with involution of the first kind that become hyperbolic over the f...
It is well known that a general quaternion algebra over a field F of characteristic different from 2...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomposes as ...
AbstractIn his book on compositions of quadratic forms, Shapiro asks whether a quadratic form decomp...
Abstract. In his book on compositions of quadratic forms, Shapiro asks whether a quadratic form deco...
International audienceLet K be a field of characteristic different from 2. It is known that a quadra...
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