Algebras with intermediate growth of the codimensions
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Bahturin, 2002, Graded polynomial identities of matrices, Linear Algebra Appl., 357, 15, 10.1016/S0024-3795(02)00356-7
Berele, 1983, Applications of hook Young diagrams to PI algebras, J. Algebra, 82, 559, 10.1016/0021-8693(83)90167-9
Giambruno, 2001, On star-varieties with almost polynomial growth, Algebra Colloq., 8, 33
Giambruno, 2001, Polynomial identities on superalgebras and almost polynomial growth, Comm. Algebra, 29, 3787, 10.1081/AGB-100105975
A. Giambruno, S. Mishchenko, M. Zaicev, Codimensions of algebras and growth functions, Preprint No. 264, Dipt. Mat. Appl., Università di Palermo (2004) 1–19
Giambruno, 1999, On the codimension growth of finite-dimensional Lie algebras, J. Algebra, 220, 466, 10.1006/jabr.1999.7933
Giambruno, 2000, Simple and semisimple Lie algebras and codimension growth, Trans. Amer. Math. Soc., 352, 1935, 10.1090/S0002-9947-99-02419-8
Giambruno, 1998, On codimension growth of finitely generated associative algebras, Adv. Math., 140, 145, 10.1006/aima.1998.1766
Giambruno, 1999, Exponential codimension growth of PI-algebras: An exact estimate, Adv. Math., 142, 221, 10.1006/aima.1998.1790
Giambruno, 2005, Polynomial Identities and Asymptotic Methods, vol. 122
James, 1981, The Representation Theory of the Symmetric Group, vol. 16
Kemer, 1978, T-ideals with power growth of the codimensions are Specht, Sibirsk. Mat. Zh., 19, 54
Mishchenko, 1987, On varieties of Lie algebras of intermediate growth, Vestsī Akad. Navuk BSSR Ser. Fīz.-Mat. Navuk, 126, 42
Mishchenko, 1996, Lower bounds on the dimensions of irreducible representations of symmetric groups and of the exponents of the exponential of varieties of Lie algebras, Mat. Sb., 187, 83
Mishchenko, 2000, Asymptotic behaviour of colength of varieties of Lie algebras, Serdica Math. J., 26, 145
Petrogradsky, 1997, Growth of polynilpotent varieties of Lie algebras, and rapidly increasing entire functions, Mat. Sb., 188, 119
Procesi, 1973, Rings with Polynomial Identities, vol. 17
Robbins, 1955, A remark on Stirling's formula, Amer. Math. Monthly, 62, 26
Volichenko, 1984, Varieties of Lie algebras with identity [[X1,X2,X3],[X4,X5,X6]]=0 over a field of characteristic zero, Sibirsk. Mat. Zh., 25, 40
Zaicev, 1998, A criterion for the polynomial growth of varieties of Lie superalgebras, Izv. Ross. Akad. Nauk Ser. Mat., 62, 103
Zaicev, 1999, An example of a variety of Lie algebras with a fractional exponent, J. Math. Sci. (NY), 93, 977, 10.1007/BF02366352
Zaicev, 2002, Integrality of exponents of growth of identities of finite-dimensional Lie algebras, Izv. Ross. Akad. Nauk Ser. Mat., 66, 23