Journal of Lie Theory

no. 2
Polynomial Identities in Smash Products
Journal of Lie Theory, Volume 12 (2002) no. 2, pp. 369-395
Suppose that a group G acts by aumorphisms on a (restricted) Lie algebra L over a field K of positive characteristic. This gives rise to smash products U(L) # K[G] and u(L)# K[G]. We find necessary and sufficient conditions for these smash products to satisfy a nontrivial polynomial identity.
DOI: 10.5802/jolt.269
Classification: 17B01, 16R10, 16S40
Keywords: Lie algebra, polynomial identity, universal enveloping algebra, smash product 
@article{JOLT_2002_12_2_a3,
     author = {Y. Bahturin and V. M. Petrogradsky},
     title = {Polynomial {Identities} in {Smash} {Products}},
     journal = {Journal of Lie Theory},
     pages = {369--395},
     year = {2002},
     volume = {12},
     number = {2},
     doi = {10.5802/jolt.269},
     zbl = {1014.17006},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.269/}
}
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%A V. M. Petrogradsky
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Y. Bahturin; V. M. Petrogradsky. Polynomial Identities in Smash Products. Journal of Lie Theory, Volume 12 (2002) no. 2, pp. 369-395. doi: 10.5802/jolt.269

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