89 citations · 253 across the 20 of their papers we have counts for
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The images of multilinear and semihomogeneous polynomials on the algebra of octonions
Alexei Kanel-Belov, Sergey Malev, Coby Pines +1
The generalized L'vov-Kaplansky conjecture states that for any finite-dimensional simple algebra the image of a multilinear polynomial on is a vector space. In this paper w…
On algorithmic unsolvability of the problem embeddability of algebraic varieties over a field of characteristic zero
A. J. Kanel-Belov, A. A. Chilikov
We show that for two afii varieties over an arbitrary field of characteristic zero, there is no general form of an algorithm for checking the presence of an embedding of one algebr…
The images of Lie polynomials evaluated on matrices
Alexei Kanel-Belov, Sergey Malev, Louis Rowen
Kaplansky asked about the possible images of a polynomial in several noncommuting variables. In this paper we consider the case of a Lie polynomial. We describe all the pos…
The images of multilinear polynomials evaluated on matrices
Alexei Kanel-Belov, Sergey Malev, Louis Rowen
Let be a multilinear polynomial in several noncommuting variables, with coefficients in a algebraically closed field of arbitrary characteristic. In this paper we classify…
Trisecant Lemma for Non Equidimensional Varieties
J. Y. Kaminski, A. Kanel-Belov, M. Teicher
The classic trisecant lemma states that if is an integral curve of $\PP^3$ then the variety of trisecants has dimension one, unless the curve is planar and has degree at least…