About: Crystal base

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A crystal base for a representation of a quantum group on a -vector spaceis not a base of that vector space but rather a -base of where is a -lattice in that vector spaces. Crystal bases appeared in the work of Kashiwara and also in the work of Lusztig. They can be viewed as specializations as of the canonical basis defined by Lusztig.

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  • A crystal base for a representation of a quantum group on a -vector spaceis not a base of that vector space but rather a -base of where is a -lattice in that vector spaces. Crystal bases appeared in the work of Kashiwara and also in the work of Lusztig. They can be viewed as specializations as of the canonical basis defined by Lusztig. (en)
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  • crystal+basis (en)
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  • Crystal basis (en)
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  • A crystal base for a representation of a quantum group on a -vector spaceis not a base of that vector space but rather a -base of where is a -lattice in that vector spaces. Crystal bases appeared in the work of Kashiwara and also in the work of Lusztig. They can be viewed as specializations as of the canonical basis defined by Lusztig. (en)
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  • Crystal base (en)
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