On characteristic identities for Lie algebras

Actually, we check in Section 5 that for nilpotent Lie algebras over a field of characteristic zero, up to dimension 9 the reduced Koszul map is always zero (by reduction to

Motivated by Chas-Sullivan string topology, in [36], as first application of Theorem 36, we ob- tained that the Hochschild cohomology of a symmetric Frobenius alge- bra A, HH ∗ (A,

now the roots br are no longer scalars but are operators which commute with the GL(n) generators and satisfy the equations

Let us start with giving a few well-known facts about the inhomogeneous pseudo-unitary groups n2) is the real Lie group of those complex transformations of an

It is known in general (and clear in our case) that i\0y has as its unique simple quotient the socle of i^Oy. Passing to global sections we see that r(%»0y) is generated by

We close this section by making some remarks on the relation between the cohomology of M.(n} and the cohomology of maximal nilpotent subalgebras of semisimple Lie algebras. Hence

— New York, Interscience Publishers, 1962 (Interscience Tracts in pure and applied Mathematics, 10)... — Commuting polynomials in quantum canonical operators and realizations of

is to classify the primitive ideals in the enveloping algebra of a complex semisimple Lie algebra of classical type by determining the fibres of the Duflo map