6533b86dfe1ef96bd12c9687
RESEARCH PRODUCT
Non-integrality of the PI-exponent of special Lie algebras
Antonio GiambrunoMikhail Zaicevsubject
Discrete mathematicsPure mathematicsAdjoint representation of a Lie algebraApplied MathematicsSimple Lie groupLie algebraLie algebraReal formKilling formAffine Lie algebraMathematicsLie conformal algebraGraded Lie algebradescription
If L is a special Lie algebra over a field of characteristic zero, its sequence of codimensions is exponentially bounded. The PI-exponent measures the exponential rate of growth of such sequence and here we give a first example of a special Lie algebra whose (upper and lower) PI-exponent is non-integer.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-10-01 |