Fetching the paper…

Reading the bibliography…

2014

Conjugation properties of tensor product multiplicities

Coquereaux, Robert, Zuber, Jean-Bernard

Original
PDF
Post on X

Understand

It was recently proven that the total multiplicity in the decomposition into irreducibles of the tensor product lambda x mu of two irreducible representations of a simple Lie algebra is invariant under conjugation of one of them; at a given level, this also applies to the fusion multiplicities of affine algebras.

Here, we show that, in the case of SU(3), the lists of multiplicities, in the tensor products lambda x mu and lambda x bar{mu}, are identical up to permutations.
This latter property does not hold in general for other Lie algebras.
We conjecture that the same property should hold for the fusion product of the affine algebra of su(3) at finite levels, but this is not investigated in the present paper.

Conjugation properties of tensor product multiplicities · Around

Built on

V.B. Mandel’tsveig,
1965
Earlier work this paper cites.
K.R. Parthasarathy, R. Ranga Rao, V.S. Varadarajan,
1967
Earlier work this paper cites.
S. Kumar,
1988
Earlier work this paper cites.
O. Mathieu,
1989
Earlier work this paper cites.
I. B. Frenkel, Y. Zhu,
1992
Earlier work this paper cites.
A. Berenstein and A. Zelevinsky,
1992
Earlier work this paper cites.

Similar

L. Bégin, P. Mathieu and M.A. Walton,
1992
Cited alongside, same era.
P. Littelmann,
1995
Cited alongside, same era.
P. Di Francesco, P. Mathieu and D. Sénéchal,
1997
Cited alongside, same era.
W. Fulton,
1997
Cited alongside, same era.
L. Suciu. The SU(3) wire model, PhD thesis, The Pennsylvania State University, 1997; AAT 9802757
1997
Cited alongside, same era.
A. Knutson and T. Tao,
1999
Cited alongside, same era.

Then

A. Knutson and T. Tao,
2003
Later among the works it cites.
M. Wesslen,
2008
Later among the works it cites.
A. Ocneanu (private communication, 2009)
2009
Later among the works it cites.
R. Coquereaux and J.-B. Zuber,
2011
Later among the works it cites.
PL. Montagard, B. Pasquier, N. Ressayre
Original
2011
Later among the works it cites.
A. J. Feingold and S. Fredenhagen,
Original
2079
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…