Journal of Lie Theory

no. 2
On the Codimension Growth of Simple Color Lie Superalgebras
Journal of Lie Theory, Volume 22 (2012) no. 2, pp. 465-479
We study polynomial identities of finite dimensional simple color Lie superalgebras over an algebraically closed field of characteristic zero graded by the product of two cyclic groups of order 2. We prove that the codimensions of identities grow exponentially and the rate of exponent equals the dimension of the algebra. A similar result is also obtained for graded identities and graded codimensions.
DOI: 10.5802/jolt.675
Classification: 17B01, 17B75, 17B20
Keywords: Color Lie superalgebras, polynomial identities, codimensions, exponential growth 
@article{JOLT_2012_22_2_a4,
     author = {D. Pagon and D. Repovs and M. Zaicev},
     title = {On the {Codimension} {Growth} of {Simple} {Color} {Lie} {Superalgebras}},
     journal = {Journal of Lie Theory},
     pages = {465--479},
     year = {2012},
     volume = {22},
     number = {2},
     doi = {10.5802/jolt.675},
     zbl = {1292.17028},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.675/}
}
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D. Pagon; D. Repovs; M. Zaicev. On the Codimension Growth of Simple Color Lie Superalgebras. Journal of Lie Theory, Volume 22 (2012) no. 2, pp. 465-479. doi: 10.5802/jolt.675

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