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A noncommutative identity for the appell polynomials
Mathematical Notes, 1998A sequence of Appell polynomials is defined as a sequence \(A=\{a_n(x),n\geq 0\}\) of polynomials \(a_n(x)\) satisfying the properties: (a) have the degree equal to \(n\); (b) behave like power-law functions under differentiation, i.e. \({da_n(x) \over dx}= na_{-1}(x)\), \(n=0,1, \dots\).
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Poisson polynomial identities II
Archiv der Mathematik, 1999The commutative algebra \(B\) equipped with a bracket \(\{\cdot,\cdot\}\) is called a Poisson algebra if the bracket makes \(B\) a Lie algebra and is assumed to be an associative algebra derivation in each argument. In a series of papers, the author has attempted to develop a purely algebraic theory of Poisson algebras.
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Codimension growth for polynomial identities of representations of Lie algebras
Mathematische Nachrichten, 2022David Levi da Silva Macedo +1 more
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POLYNOMIAL IDENTITIES AND HAUPTMODULN
The Quarterly Journal of Mathematics, 1981openaire +2 more sources
Codimension Growth for Weak Polynomial Identities, and Non-integrality of the PI Exponent
Springer INdAM Series, 2021Plamen Koshlukov +1 more
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Elementary Polynomial Identities Involving q-Trinomial Coefficients
Trends in Mathematics, 2021Alexander Berkovich +2 more
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Elementary Polynomial Identities Involving $$\varvec{q}$$-Trinomial Coefficients
Annals of Combinatorics, 2019Alexander Berkovich +2 more
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A bijection which implies Melzer's polynomial identities: the? 1,1 (p,p+1) case
Letters in Mathematical Physics, 1996Omar Foda, S Ole Warnaar, Foda Omar
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Polynomial identities of bicommutative algebras, Lie and Jordan elements
Communications in Algebra, 2018Nurlan Ismailov
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Graded polynomial identities for matrices with the transpose involution over an infinite field
Communications in Algebra, 2018Thiago Castilho De Mello
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