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math.RT2006
Note on Laplace operators and homologies of a few Lie subalgebras of
F. V. Weinstein
We investigate a spectrum of positive self-adjoint operator $\Gk$ (Laplace operator) acting in the external complexes of some interesting subalgebras $\Lk$ of Lie algebra $A_1^{(1)…
math.RT2006
Filtering bases and cohomology of nilpotent subalgebras of Witt and Lie algebras
F. V. Weinstein
We study the cohomology with trivial coefficients of Lie algebras L_k of the polynomial vector fields on the line with zero -jet, (k>=1), and the cohomology of the similar subal…