Crystal Bases for the Quantum Superalgebra $U_q(gl(m,n))$

Details Crystal Bases for the Quantum Superalgebra $U_q(gl(m,n))$ Crystal Bases for the Quantum Superalgebra $U_q(gl(m,n))$

1998-10-15

arxiv.org/abs/math/9810092v1

Mathematics

Quantum Algebra

55 pages, many figures drawn with "texdraw"

Scientific paper

We develop a crystal base theory for the general linear Lie superalgebra
$gl(m,n)$. We prove that any irreducible $U_q(gl(m,n))$-module in some category
has a crystal base, and prove that its associated crystal base is parameterized
by semistandard tableaux.

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