Level-0 action of U_q(\hat{sl_n}) on the q-deformed Fock spaces

Details Level-0 action of U_q(\hat{sl_n}) on the q-deformed Fock spaces Level-0 action of U_q(\hat{sl_n}) on the q-deformed Fock spaces

1996-07-30

arxiv.org/abs/q-alg/9607031v1

Mathematics

Quantum Algebra

24 pages, AMSLaTex

Scientific paper

On the level-1 Fock space modules of the algebra $U_q(\hat{sl_n})$ we define a level-0 action $U_0$ of the $U_q(\hat{sl_n})$, and an action of an abelian algebra of conserved Hamiltonians commuting with the $U_0$. An irreducible decomposition of the Fock space with respect to the level-0 action is derived by constructing a base of the Fock space in terms of the Non-symmetric Macdonald Polynomials.

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