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A theory of noncommutative determinants and characteristic functions of graphs

https://doi.org/10.1007/bf01075044
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Quantum deformations of GLn
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Quantum spectral transform method recent developments
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A New Zeta Function, Natural for Links
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La Géométrie des Groupes Classiques
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Introduction to Superanalysis
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Determinants of matrices over noncommutative rings
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Multiparametric quantum deformation of the general linear supergroup
inferredcites →https://doi.org/10.1007/bf01447728openalex-snapshot
Ueber die Zur�ckf�hrung der Cayley'schen Operation ? auf gew�hnliche Polar-Operationen
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Die Theorie der linearen Gleichungen in einer Zahlenspezies mit nichtkommutativer Multiplikation
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The Capelli identity, the double commutant theorem, and multiplicity-free actions
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Problèmes combinatoires de commutation et réarrangements
inferredcites →https://doi.org/10.1016/0001-8708(79)90049-5openalex-snapshot
A noncommutative version of the matrix inversion formula
inferredcites →https://doi.org/10.1016/0001-8708(91)90062-copenalex-snapshot
The Capelli identity, tube domains, and the generalized Laplace transform
inferredcites →https://doi.org/10.1016/0021-8693(76)90159-9openalex-snapshot
Rational relations and rational identities in division rings
inferredcites →https://doi.org/10.1016/b978-0-12-400466-5.50017-2openalex-snapshot
Bäcklund Transformations of Classical Orthogonal Polynomials
inferredcites →https://doi.org/10.1016/s0167-5060(08)70699-xopenalex-snapshot
A Combinatorial Proof of Jacobi's Identity
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Simultaneous Linear Equations over a Division Algebra
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On Continued Fractions in Non-Commutative Quantities
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Linear Equations in Non-Commutative Fields
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Les déterminants sur un corps non commutatif
inferredcites →https://doi.org/10.3792/pja/1195518723openalex-snapshot
The determinant of matrices of pseudo-differential operators

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Noncommutative symmetric functions
inferred← citeshttps://doi.org/10.48550/arxiv.math-ph/0510059openalex-snapshot
Quaternions in mathematical physics (1): Alphabetical bibliography
inferred← citeshttps://doi.org/10.48550/arxiv.math/0002238openalex-snapshot
Quadratic-linar algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials
inferred← citeshttps://doi.org/10.48550/arxiv.math/0211288openalex-snapshot
Yangians and their applications
inferred← citeshttps://doi.org/10.48550/arxiv.math/0309461openalex-snapshot
Quasideterminants and Casimir elements for the general Lie superalgebra
inferred← citeshttps://doi.org/10.48550/arxiv.math/0501237openalex-snapshot
Vector Space Over Division Ring
inferred← citeshttps://doi.org/10.48550/arxiv.math/0702447openalex-snapshot
Cramer rule over quaternion skew field
inferred← citeshttps://doi.org/10.48550/arxiv.q-alg/9701008openalex-snapshot
Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
inferred← citeshttps://doi.org/10.48550/arxiv.q-alg/9703003openalex-snapshot
Row-reducing the quantum determinant and Dieudonne determinant
inferred← citeshttps://doi.org/10.54550/eca2021v1s3i11openalex-snapshot
Interview with Igor Pak
inferred← citeshttps://doi.org/10.70675/2fb65eabz3aa5z4335za8a3z234a521d5aadopenalex-snapshot
Équations de Painlevé non abéliennes
inferred← citeshttps://doi.org/10.7566/jpsj.86.064002openalex-snapshot
Exact Solutions of Hermitian Symmetric Space Derivative Nonlinear Schrödinger Equations
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