Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Perelomov, Askold"'
We study weight multiplicities in tensor powers of the adjoint representation of $SU(3)$ and relate them to Franel numbers.
Externí odkaz:
http://arxiv.org/abs/1911.04346
A method based on the quantum Calogero-Sutherland model is used to obtain generating functions for characters and multiplicities of $A_3$. Some comments on other rank three algebras are offered.
Comment: 13 pages, no figures
Comment: 13 pages, no figures
Externí odkaz:
http://arxiv.org/abs/1705.03711
A procedure is described that makes use of the generating function of characters to obtain a new generating function $H$ giving the multiplicities of each weight in all the representations of a simple Lie algebra. The way to extract from $H$ explicit
Externí odkaz:
http://arxiv.org/abs/1506.07815
On the generating function of weight multiplicities for the representations of the Lie algebra $C_2$
We use the generating function of the characters of $C_2$ to obtain a generating function for the multiplicities of the weights entering in the irreducible representations of that simple Lie algebra. From this generating function we derive some recur
Externí odkaz:
http://arxiv.org/abs/1405.2758
We solve perturbatively the quantum elliptic Calogero-Sutherland model in the regime in which the quotient between the real and imaginary semiperiods of the Weierstrass ${\cal P}$ function is small
Comment: 6 pages, no figures
Comment: 6 pages, no figures
Externí odkaz:
http://arxiv.org/abs/math-ph/0205042
We compute the generating function for the characters of the irreducible representations of SU(n) whose associated Young diagrams have only two rows with the same number of boxes. The result is a rational determinantal expression in which both the nu
Externí odkaz:
http://arxiv.org/abs/math-ph/0204025
Publikováno v:
J. Phys. A: Math. Gen. 34 (2001) 10963-10973
Quantum Calogero-Sutherland model of $A_n$ type is completely integrable. Using this fact, we give an elementary construction of lowering an raising operators for the trigonometric case. This is similar, but more complicated (due to the fact that the
Externí odkaz:
http://arxiv.org/abs/math-ph/0110038
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