Askold M. Perelomov
University of Oviedo
12 Papers
57 Citations
Askold M. Perelomov is an academic researcher from University of Oviedo. The author has contributed to research in topics: Lie algebra & Graded Lie algebra. The author has an hindex of 6, co-authored 12 publications.
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Papers
An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model
TL;DR: In this paper, the authors give an elementary construction of lowering an raising operator for the trigonometric case, but this is more complicated than the construction for the rational case, due to the fact that the energy spectrum is not equidistant.
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On an approach for computing the generating functions of the characters of simple Lie algebras
TL;DR: In this paper, a general approach to obtain the generating functions of the characters of simple Lie algebras based on the theory of the quantum trigonometric Calogero-Sutherland model is described.
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A perturbative approach to the quantum elliptic Calogero-Sutherland model
TL;DR: In this paper, the quantum elliptic Calogero-Sutherland model is solved perturbatively in the regime in which the quotient between the real and imaginary semiperiods of the Weierstrass function is small.
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Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7
TL;DR: In this article, the quantum Calogero-Sutherland model for the Lie algebra E7 and the particular value of the coupling constant K = 1 were re-expressed by using the fundamental irreducible characters of the algebra as dynamical variables.
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On the derivatives of generalized Gegenbauer polynomials
TL;DR: In this paper, the derivatives of the generalized Gegenbauer polynomials associated to the Lie algebra A_2 were studied and some new formulae for the derivatives were proved.
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