On Multiple Polynomials of Capelli Type

On Multiple Polynomials of Capelli Type

This paper deals with the class of Capelli polynomials in free associative algebra F{Z} (where F is an arbitrary field, Z is a countable set) generalizing the construction of multiple Capelli polynomials. The fundamental properties of the introduced Capelli polynomials are provided. In particular, d...

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Bibliographic Details
Main Authors: S.Y. Antonov, A.V. Antonova
Format: Article
Language:Russian
Published: Kazan Federal University 2016-03-01
Series:Učënye Zapiski Kazanskogo Universiteta: Seriâ Fiziko-Matematičeskie Nauki
Subjects:
matrix algebra
Capelli polynomial
polynomial identity
free associative algebra
symmetric group
standard polynomial
T -idea
Online Access:http://kpfu.ru/portal/docs/F1262480853/158_1_phys_mat_1.pdf

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http://kpfu.ru/portal/docs/F1262480853/158_1_phys_mat_1.pdf

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