SYMMETRIC FUNCTIONS AND THE YANGIAN DECOMPOSITION OF THE FOCK AND BASIC MODULES OF THE AFFINE LIE ALGEBRA ŝlN
نویسنده
چکیده
The decompositions of the Fock and Basic modules of the affine Lie algebra ŝlN into irreducible submodules of the Yangian algebra Y (glN ) are constructed. Each of the irreducible submodules admits the unique up to normalization eigenbasis of the maximal commutative subalgebra of the Yangian. The elements of this eigenbasis are identified with specializations of Macdonald symmetric functions where both parameters of these functions approach an Nth primitive root of unity.
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