Keywords:
relatively free Lie-nilpotent algebra, center, index of an algebra, free associative algebra, Grassmann algebra, Frobenius relations, T-space of an algebra.
Citation:
A. V. Grishin, “On the Center of a Relatively Free Lie-Nilpotent Algebra of Index 4”, Mat. Zametki, 91:1 (2012), 147–148; Math. Notes, 91:1 (2012), 139–140
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Linking options:
https://www.mathnet.ru/eng/mzm9142
https://doi.org/10.4213/mzm9142
https://www.mathnet.ru/eng/mzm/v91/i1/p147
This publication is cited in the following 4 articles:
S. V. Pchelintsev, “Construction and applications of an additive basis for the relatively free associative algebra with the lie nilpotency identity of degree 5”, Siberian Math. J., 61:1 (2020), 139–153
A. V. Grishin, “The asymptotic approach to the description of the center of a relatively free Lie-nilpotent algebra”, J. Math. Sci., 269:3 (2023), 322–330
A. V. Grishin, “On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4”, Sb. Math., 210:2 (2019), 234–244
A. V. Grishin, S. V. Pchelintsev, “On centres of relatively free associative algebras with a Lie nilpotency identity”, Sb. Math., 206:11 (2015), 1610–1627