Journal of Lie Theory

no. 2
On the Codimension Growth of Simple Color Lie Superalgebras
Dusan Pagon1; Dusan Repovs2; Mikhail Zaicev3
1Inst. of Mathematics, Physics and Mechanics, Faculty of Natural Sciences and Mathematics, University of Maribor, P. O. Box 2964, Ljubljana 1001, Slovenia
2Faculty of Mathematics and Physics, University of Ljubljana, P. O. Box 2964, Ljubljana 1001, Slovenia
3Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow 119992, Russia
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

Dusan Pagon  1 ; Dusan Repovs  2 ; Mikhail Zaicev  3

1 Inst. of Mathematics, Physics and Mechanics, Faculty of Natural Sciences and Mathematics, University of Maribor, P. O. Box 2964, Ljubljana 1001, Slovenia
2 Faculty of Mathematics and Physics, University of Ljubljana, P. O. Box 2964, Ljubljana 1001, Slovenia
3 Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow 119992, Russia 
Dusan Pagon; Dusan Repovs; Mikhail 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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     title = {On the {Codimension} {Growth} of {Simple} {Color} {Lie} {Superalgebras}},
     journal = {Journal of Lie Theory},
     pages = {465--479},
     year = {2012},
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