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We show that the quantum Casimir operators of the quantum linear group constructed in early work of Bracken, Gould and Zhang together with one obvious central element generate the entire center ...
of a general Casimir operator in terms of the degree of homogeneity is presented. I have presented a means of getting a representation space of a general linear group of n dimensions in terms of homogeneous ...
as the precursors, we develop a general method of constructing quantum number independent ladder operators ; and then investigate the general conditions for these operators to form a realization of the su(2) algebra ...
Nambu's construction of multi- linear brackets for super-integrable systems can be thought of as degenerate Poisson brackets with a maximal set of Casimirs in their kernel. By introducing privileged ...
(proportionality to eigenvalues of the quadratic Casimir operator ), as expected in the one-loop approximation. On the other hand, the generalized parabolicity is strongly violated at the metal-insulator transition ...
Starting from a differential realization of the generators of the so(2, 2) algebra we connect the eigenvalue equation of the Casimir invariant either with the hypergeometric equation ...
(proportionality to eigenvalues of the quadratic Casimir operator ), as expected in the one-loop approximation. On the other hand, the generalized parabolicity is strongly violated at the metal-insulator transition ...
parabolicity (proportionality to eigenvalues of the quadratic Casimir operator ). At the same time, the generalized parabolicity is strongly violated at critical points of metal-insulator transitions, signalling ...
parabolicity (proportionality to eigenvalues of the quadratic Casimir operator ). At the same time, the generalized parabolicity is strongly violated at critical points of metal-insulator transitions, signalling ...
if it is generically invariant under the shifts $s_j\mapsto s_j+1$ up to isomorphism. In this paper we show that in characteristic $p$, the $p$-curvature operators $\lbrace C_i,1\le i\le r\rbrace$ of a periodic pencil ...
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