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arxiv: q-alg/9607031 · v1 · submitted 1996-07-30 · q-alg · math.QA

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

classification q-alg math.QA
keywords actionfocklevel-0spacealgebraabelianbasecommuting
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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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