AbstractWe prove that the rings of invariants of 2×2 matrices over an infinite field are Cohen–Macaulay. This result generalizes the similar theorem of Mehta and Ramadas in odd characteristics. Our approach is more elementary and it uses only some standard facts from the theory of modules with good filtrations and the theory of determinantal rings
We give explicit formulas for the a-invariant of a ring defined by the minors of fixed size of a gen...
AbstractWe give explicit examples of invariant rings that are not Cohen–Macaulay for all classical g...
Abstract. The representation theory of a class of infinite-dimensional groups which are inductive li...
AbstractWe prove that the rings of invariants of 2×2 matrices over an infinite field are Cohen–Macau...
AbstractDenote by Rn,m the ring of invariants of m-tuples of n×n matrices (m,n⩾2) over an infinite b...
AbstractLet Fq be the finite field with q elements, q=pν, p∈N a prime, and Mat2.2(Fq) the vector spa...
AbstractDenote by Rn,m the ring of invariants of m-tuples of n×n matrices (m,n⩾2) over an infinite b...
AbstractFor any faithful representation V of a non-trivial p-group over a field of characteristic p>...
We show that the invariant factors of matrices over certain types of rings are characterized by a sh...
AbstractIfVis a faithful module for a finite groupGover a field of characteristicp, then the ring of...
AbstractWorking over an algebraically closed base field k of characteristic 2, the ring of invariant...
AbstractFor a faithful linear representation of a finite group G over a field of characteristic p, w...
We consider linear representations of a finite group G on a finite dimensional vector space over a f...
We study the varieties and their coordinate rings of pairs of matrices of indeterminates whose produ...
We give explicit formulas for the a-invariant of a ring defined by the minors of fixed size of a gen...
We give explicit formulas for the a-invariant of a ring defined by the minors of fixed size of a gen...
AbstractWe give explicit examples of invariant rings that are not Cohen–Macaulay for all classical g...
Abstract. The representation theory of a class of infinite-dimensional groups which are inductive li...
AbstractWe prove that the rings of invariants of 2×2 matrices over an infinite field are Cohen–Macau...
AbstractDenote by Rn,m the ring of invariants of m-tuples of n×n matrices (m,n⩾2) over an infinite b...
AbstractLet Fq be the finite field with q elements, q=pν, p∈N a prime, and Mat2.2(Fq) the vector spa...
AbstractDenote by Rn,m the ring of invariants of m-tuples of n×n matrices (m,n⩾2) over an infinite b...
AbstractFor any faithful representation V of a non-trivial p-group over a field of characteristic p>...
We show that the invariant factors of matrices over certain types of rings are characterized by a sh...
AbstractIfVis a faithful module for a finite groupGover a field of characteristicp, then the ring of...
AbstractWorking over an algebraically closed base field k of characteristic 2, the ring of invariant...
AbstractFor a faithful linear representation of a finite group G over a field of characteristic p, w...
We consider linear representations of a finite group G on a finite dimensional vector space over a f...
We study the varieties and their coordinate rings of pairs of matrices of indeterminates whose produ...
We give explicit formulas for the a-invariant of a ring defined by the minors of fixed size of a gen...
We give explicit formulas for the a-invariant of a ring defined by the minors of fixed size of a gen...
AbstractWe give explicit examples of invariant rings that are not Cohen–Macaulay for all classical g...
Abstract. The representation theory of a class of infinite-dimensional groups which are inductive li...
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