Search Results

I do not have access to the article you are citing but I have made a little search and I think the answer to your question is yes (given that we are speaking about a non-compact, connected, semisimple …

I understand that the OP's original focus is classical statistical mechanics. However, i think that the question is of interest from a more general viewpoint including the dynamical systems/integrabil …

If i have correctly understood your question, i think that the answer can be found at M. D. Gould, R. B. Zhang, Classification of all star and grade star irreps of gl(n|1), J. of Math. Phys., 31, 15 …

About your Q1: I think that the simplest—and most obvious—way to think mathematically about the physical meaning of Planck's constant $h$ is that it is a kind of quantitative measure of the departure …

If i correctly understand your question, i think what you are talking about is the so called Poincare reduction method. This actually generalises Liouville integrability, in the sense that in the pres …

This is a very interesting question. I have also made some search but i have not found this result explicitly mentioned somewhere in the literature. However, i remember i have heard such a claim in th …

I think that the answer lies in the "educational culture" of physicists. Physicists are often used -well at least at the undergraduate level- to learn and perform complicated computations with abstra …

The Serre relations (some authors also call them Serre-Chevalley relations) for the finite dimensional, complex, basic, classical, simple Lie superalgebras -in analogy with the Lie algebra case- rea …

There are actually lots of applications of solvable Lie algebras, especially in the field of integrable systems where the solvabiltiy of Hamilton's equations of motion is frequently related to the so …

I am not sure if this is the qualitative/geometric interpretation -of the integrality of the $l$ parameter- you are looking for, but if the parameter $l$ is a non-negative integer then the Legendre po …

Akshay Venkatesh has some application-oriented work: On quantum unique ergodicity for locally symmetric spaces, see also: Heat-kernel asymptotics of locally symmetric spaces of rank one and Chern-S …

Regarding your second question, on other possible deformations of $sl(2)$: There have been various studies on (multi-parametric) deformations of Lie algebras -as has already been mentioned in the co …

I am not sure if this is exactly what you are looking for, but there have been some classic works, developing general methods for such topics: In Dynkin, Semisimple subalgebras of semisimple Lie al …

Classical, Simple, Complex, Lie superalgebras and Complex, Affine, Kac-Moody algebras and Complex, Kac-Moody Lie superalgebras have an associated graph -up to isomorphism- in the sense of a generalize …

$P(1)$ is not simple: To see why, consider the strange, type I, classical, simple, complex, LS $P(n)$, $n\geq 2$ realized as the set of complex, $(2n+2)\times(2n+2)$ matrices $\mathbf{M}$, with grad …