A refinement of the toral rank conjecture for 2-step nilpotent lie algebras

TY - JOUR

T1 - A refinement of the toral rank conjecture for 2-step nilpotent lie algebras

AU - Tirao, Paulo

PY - 2000

Y1 - 2000

N2 - It is known that the total (co)-homoloy of a 2-step nilpotcnt Lie algebra g is at least 2|j|, where j is the center of g. We improve this result by showing that a better lower bound is 2t, where t = |j| +: [|v|+1/2] and v is a complement of j in g. Furthermore, we provide evidence that this is the best possible bound of the form 2t.

AB - It is known that the total (co)-homoloy of a 2-step nilpotcnt Lie algebra g is at least 2|j|, where j is the center of g. We improve this result by showing that a better lower bound is 2t, where t = |j| +: [|v|+1/2] and v is a complement of j in g. Furthermore, we provide evidence that this is the best possible bound of the form 2t.

KW - 2-step nilpotent lie algebras

KW - Homology of lie algebras

KW - Toral rank conjecture

UR - http://www.scopus.com/inward/record.url?scp=23044521729&partnerID=8YFLogxK

U2 - 10.1090/s0002-9939-00-05366-1

DO - 10.1090/s0002-9939-00-05366-1

M3 - 文章

AN - SCOPUS:23044521729

SN - 0002-9939

VL - 128

SP - 2875

EP - 2878

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -