Canonical bases of q-deformed Fock spaces

Details Canonical bases of q-deformed Fock spaces Canonical bases of q-deformed Fock spaces

1996-02-16

arxiv.org/abs/q-alg/9602025v1

Mathematics

Quantum Algebra

7 pages, LaTex

Scientific paper

We define a canonical basis of the $q$-deformed Fock space representation of
the affine Lie algebra $\glchap_n$. We conjecture that the entries of the
transition matrix between this basis and the natural basis of the Fock space
are $q$-analogues of decomposition numbers of the $v$-Schur algebras for $v$
specialized to a $n$th root of unity.

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