Abstract
Following I. Volichenko we study varieties of Lie algebras over a field of characteristic zero, satisfying the identity [[x 1,x 2,x 3], [x 4 x 5 x 6]] = 0. We prove that the exponential growth of any proper subvariety is a positive integer and any positive integer can be so realized.
1)Work Partially supported by RFFI Grant Nos. 96-0-00146 and 98-01-01020
2)Work Partially supported by ISF grant 6629/1
3)Work Partially supported by RFFI Grant Nos. 96-01-00146 and 96-15-96050
1)Work Partially supported by RFFI Grant Nos. 96-0-00146 and 98-01-01020
2)Work Partially supported by ISF grant 6629/1
3)Work Partially supported by RFFI Grant Nos. 96-01-00146 and 96-15-96050
Notes
1)Work Partially supported by RFFI Grant Nos. 96-0-00146 and 98-01-01020
2)Work Partially supported by ISF grant 6629/1
3)Work Partially supported by RFFI Grant Nos. 96-01-00146 and 96-15-96050