The authors study both the case of matrices over a field of characteristic 0 and the case of
matrices over a field of positive characteristic. While the case of characteristic 0 can be …

A minimal homogeneous generating system of the algebra of semi-invariants of tuples of two-
by-two matrices over an infinite field of characteristic two or over the ring of integers is given …

We consider a generalization of representations of quivers that can be derived from the
ordinary representations of quivers by considering a product of arbitrary classical linear …

Separating invariants for two-dimensional orthogonal groups over finite fields - ScienceDirect Skip
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Abstract A linear group G< GL (n) acts on d-tuples of n× n matrices by simultaneous
conjugation. In Procesi (Adv Math 19: 306–381, 1976), Procesi established generators and …

Let k be an algebraically closed field of characteristic p≥ 0. Let H be a subgroup of GL n (k).
We are interested in the determination of the vector invariants of H. When the characteristic …

Let V be an n-dimensional algebraic representation over an algebraically closed field K of a
group G. For m> 0, we study the invariant rings K [V m] G for the diagonal action of G on V m …

arXiv:0711.3588v2 [math.RT] 27 Apr 2009 Page 1 arXiv:0711.3588v2 [math.RT] 27 Apr 2009
Representations of quivers, their generalizations and invariants AA Lopatin AN Zubkov Institute of …

Abstract A linear group G< GL (n) acts on d-tuples of n× n matrices by simultaneous
conjugation. In [Adv. Math. 19 (1976), 306–381] Procesi established generators and …

Официальные оппоненты: Арæанцев Иван Владимирович, доктор физико-
математических наук, доцент, Федеральное государственное бюджетное …