The purpose of this survey paper is to bring to a large mathematical audience (containing
also non-algebraists) some topics of invariant theory both in the classical commutative and …

We obtain defining relations of the algebra of invariants of the classical subgroups of GL 2
(C) acting by simultaneous conjugation on m-tuples of 2× 2 complex matrices. The sets of …

Weak Polynomial Identities for the Matrix Algebra of Order Two Page 1 Ž . JOURNAL OF
ALGEBRA 188, 610625 1997 ARTICLE NO. JA966850 Weak Polynomial Identities for the …

This is an improved version of the talk of the author given at the Antalya Algebra Days VII on
May 21, 2005. We present an introduction to the theory of the invariants under the action of …

Let R be an associative algebra over a field K generated by a vector subspace V. The
polynomial f (x 1,..., xn) of the free associative algebra K is a weak polynomial identity for the …

In commutative algebra, a Weitzenböck derivation is a nonzero triangular linear derivation of
the polynomial algebra K [x1,…, xm] in several variables over a field K of characteristic 0 …

Let K be a field, char K≠ 2, and let Vk be ak-dimensional vector space over K equipped with
a nondegenerate symmetric bilinear form. Denote Ck the Clifford algebra of Vk. We study the …

Let so 3 (K) be the Lie algebra of 3× 3 skew-symmetric matrices over a field K of
characteristic 0. The ideal I (M 3 (K), so 3 (K)) of the weak polynomial identities of the pair (M …

The Jordan algebra of the symmetric matrices of order two over a field K has two natural
gradings by Z2, the cyclic group of order 2. We describe the graded polynomial identities for …

In this paper we investigate weak polynomial identities for the Weyl algebra A1 over an
infinite field of arbitrary characteristic. Namely, we describe weak polynomial identities of the …