# Algebras Generated By Linearly Dependent Elements With Prescribed Spectra

Below is result for Algebras Generated By Linearly Dependent Elements With Prescribed Spectra in PDF format. You can download or read online all document for free, but please respect copyrighted ebooks. This site does not host PDF files, all document are the property of their respective owners.

### INDEX OF VOLUME 5

Herstein, I. N. A note on rings with central nilpotent elements, 620. Hochschild, G. Representations of restricted Lie algebras of characteristic p, 603. Honig, C. S. Proof of the well-ordering of cardinal numbers, 312, 1001. Horn, A. On the eigenvalues of a matrix with prescribed singular values, 4.

### Our object is to investigate the deformations of LI (H(2n

Lk = Lk(H(2)) to be the Lie subalgebra of H(2) generated by the elements of degree greater than or equal to k. The two gradings on H(2) induce a bigraded structure on the cohomology groups. Let II2d w)(Li; L1) be the cohomology group of cocycles c such that deg(c(xl Ax2)) = d + d, + d2 if deg(x1) = di and wg(c(xl A X2)) = W + w1 + w2 if wg(xi

### quasi-higher dimension - arXiv

from the ancestor model, depend also linearly (for the rational class), or trigonometrically on λ (for q-deformed class). For going beyond the prescribed form of the ancestor model, we search for a Lax matrix with higher scaling (or length) dimension linked to the integrable hierarchy and for introducing

### DEFORMATIONS OF VECTOR FIELDS AND HAMILTONIAN VECTOR FIELDS

infinite-dimensional Lie algebras A is a new area of research. In the well-known work [1], A. Fialowski presents a complete description of the deformations of L (W( )), the nilpotent part of the Witt algebra. This and similar works like [2] and [3] show that the properties of deformations of nilpotent parts are com-

### Construction and exact solution of a nonlinear quantum field

only linearly, while its q-deformation depends on its trigonometric functions [3,24]. Consequently, all quantum Lax matrices of known integrable models, since realized from the ancestor model, depend also linearly (for the rational class), or trigonometrically on λ (for q-deformed class). For going beyond the prescribed form of the