Commutative and noncommutative invariant theory
Computational techniques for PI-algebras
Finite generating system of matrix invariants.
Generic 2 x 2 Matrices with involution.
Invariants of Unipotent Transformations Acting on Noetherian Relatively Free Algebras
2000 Mathematics Subject Classification: 16R10, 16R30.The classical theorem of Weitzenböck states that the algebra of invariants K[X]^g of a single unipotent transformation g ∈ GLm(K) acting on the polynomial algebra K[X] = K[x1, . . . , xm] over a field K of characteristic 0 is finitely generated.Partially supported by Grant MM-1106/2001 of the Bulgarian National Science Fund.
On semi-invariants of tilted algebras of type Aₙ
We prove that for algebras obtained by tilts from the path algebras of equioriented Dynkin diagrams of type Aₙ, the rings of semi-invariants are polynomial.
Polynomial identities for tensor products of Grassmann algebras.
Polynomial identities of nil algebras of bounded index
Lo scopo di questo lavoro è di dare una nuova descrizione del -ideale generato dalla nil-identità come immagine omeomorfa della -esima potenza tensoriale simmetrica dell'algebra associativa libera su un campo di caratteristica . Come applicazione calcoliamo il carattere delle conseguenze multilineari di grado dell'identità .
Pseudospectra and matrix behaviour
We study the extent to which the pseudospectra of a matrix determine other aspects of its behaviour, such as the growth of its powers and its unitary equivalence class.
The ring of invariants of three -matrices over a field of prime characteristic.
Матричные инварианты над бесконечным полем конечной характеристики
Об одном обощении теоремы Размыслова - Прочези
Тождества со следом йордановой алгебры билинейной формы.