Polynomial identities and asymptotic methods

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Amitsur's conjecture for associative algebras with a generalized Hopf action (2012, background): “We refer the reader to [4, 12, 15] for an account of Sn-representations and their applications to polynomial identities.”
Codimensions of algebras and growth functions (2008, methodology): “We refer the reader to [4,7,20,23] for an account of the basic properties of PI-algebras.”
Characteristic functions of measures on geometric rough paths (2013, methodology): “The following is a slight generalization of [17] Theorem 1.”
Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture (2020, methodology): “The methods of working with PI are set out in [19, 26, 31, 32, 34, 42, 43, 48, 50, 54, 63, 64, 75, 87, 88, 95], for more detailed exposition of PI theory and related references see [56].”
Graded polynomial identities and codimensions: computing the exponential growth (2010, background): “The key result in this area says that the sequence of codimensions of a PI-algebra (algebra satisfying a non-trivial polynomial identity) is exponentially bounded and its exponential rate of growth is an integer (see [14]).”
Graded polynomial identities and exponential growth (2009, methodology): “We remark that theG-codimensions of A do not change upon extension of the base field (see [16]).”