scientific article; zbMATH DE number 922604
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Publication:4893124
zbMath0865.05074arXivq-alg/9507010MaRDI QIDQ4893124
Vladimir S. Retakh, Israel M. Gel'fand
Publication date: 9 June 1997
Full work available at URL: https://arxiv.org/abs/q-alg/9507010
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Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15)
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Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables. ⋮ The quadratic algebras associated with pseudo-roots of noncommutative polynomials are Koszul algebras. ⋮ Closed expressions for Lie algebra invariants and finite transformations ⋮ On noncommutative Vieta theorem in geometric algebras ⋮ Vieta's formulae for regular polynomials of a quaternionic variable ⋮ Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮ Structural properties of the graph algebra \(K_3\). ⋮ Splitting Polynomials in Noncommutative Algebras ⋮ Noncommutative spectral decomposition with quasideterminant ⋮ On the rational relationships among pseudo-roots of a non-commutative polynomial ⋮ Quantum- and quasi-Plücker coordinates. ⋮ From factorizations of noncommutative polynomials to combinatorial topology. ⋮ Quasideterminants ⋮ Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials ⋮ Nonsymmetric generic matrix equations
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