A. Borodin and J. Kuan, Random surface growth with a wall and Plancherel measures for O (???), Communications on pure and applied mathematics, pp.831-894, 2010.
DOI : 10.1002/cpa.20320

A. Borodin and P. Ferrari, Anisotropic Growth of Random Surfaces in 2??+??1 Dimensions, Communications in Mathematical Physics, vol.67, issue.32, 2008.
DOI : 10.1007/s00220-013-1823-x

M. Defosseux, Orbit measures and interlaced determinantal point processes, Comptes Rendus Mathematique, vol.346, issue.13-14, pp.209-249, 2010.
DOI : 10.1016/j.crma.2008.05.016

URL : https://hal.archives-ouvertes.fr/hal-00315365

M. Defosseux, Generalized Laguerre Unitary Ensembles and an interacting particles model with a wall, Electronic Communications in Probability, vol.16, issue.0
DOI : 10.1214/ECP.v16-1602

URL : https://hal.archives-ouvertes.fr/hal-00489183

A. W. Knapp, Lie groups, beyond an introduction, p.1920389, 2002.
DOI : 10.1007/978-1-4757-2453-0

T. Nakashima, Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras, Communications in Mathematical Physics, vol.88, issue.2, pp.215-243, 1993.
DOI : 10.1007/BF02096996

L. De and M. Appliquéesappliquées, Appliquéesà Paris 5, Université Paris 5, 45 rue des Saints P` eres, 75270 Paris Cedex 06