Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 13, Tome 205 (1993), pp. 30-37
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New combinatorial formulas for multiplicities in the decomposition of the tensor product of representations of simple Lie algebras into irreducible components are obtained. A connection of the arising constructions with the Bethe equations and representation theory of Yangians is established. Bibliography: 14 titles.
@article{ZNSL_1993_205_a3,
author = {A. N. Kirillov and N. Yu. Reshetikhin},
title = {Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple {Lie} algebras},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {30--37},
publisher = {mathdoc},
volume = {205},
year = {1993},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_205_a3/}
}
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%0 Journal Article %A A. N. Kirillov %A N. Yu. Reshetikhin %T Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras %J Zapiski Nauchnykh Seminarov POMI %D 1993 %P 30-37 %V 205 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1993_205_a3/ %G ru %F ZNSL_1993_205_a3
A. N. Kirillov; N. Yu. Reshetikhin. Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 13, Tome 205 (1993), pp. 30-37. http://geodesic.mathdoc.fr/item/ZNSL_1993_205_a3/