Combinatorial Aspects of Capelli Identities and Structure of Algebras

K. A. Zubrilin ()
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K. A. Zubrilin: Moscow State University, Dept. of Mech. and Math.

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 785-788 from Springer

Abstract: Abstract The combinatorial properties of the system of Capelli identities are investigated. These properties have enabled the author to develop a characteristic-free approach to the stucture theory of algebras satisfying Capelli identities with an arbitrary set of multilinear operations. The structure theory of those algebras is analogous to that of PI-algebras and finite-dimensional algebras. The obtained combinatorial properties also clarify the proof of the Braun — Kemer — Razmyslov theorem on the radical problem of an associative PI-algebra.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_77

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DOI: 10.1007/978-3-662-04166-6_77

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