Generalized symmetric functions and invariants of matrices

DOI10.1007/s00209-007-0285-2zbMath1144.05070OpenAlexW2001467577MaRDI QIDQ944235

Francesco Vaccarino

Publication date: 15 September 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0285-2

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Actions of groups on commutative rings; invariant theory (13A50) Representation theory of associative rings and algebras (16G99)

Related Items (5)

Cayley Hamilton algebras ⋮ Symmetric products, linear representations and trace identities ⋮ Hilbert-Chow morphism for non commutative Hilbert schemes and moduli spaces of linear representations ⋮ Norms and Cayley-Hamilton algebras ⋮ Homogeneous multiplicative polynomial laws are determinants

Cites Work

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• Abelianizing the divided powers algebra of an algebra
• Generators for the divided powers algebra of an algebra and trace identities
• Polynomial representations of \(GL_n\)
• Invariants of several matrices
• The invariant theory of \(n\times n\) matrices
• The ring of multisymmetric functions.
• Linear representations, symmetric products and the commuting scheme
• Hopf algebras with trace and representations
• On Azumaya algebras and finite dimensional representations of rings
• Endomorphisms of tensor products of exterior powers and procesi hypothesis
• Invariant functions on matrices
• Lois polynomes et lois formelles en théorie des modules

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