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About: Crystal base     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatQuantumGroups, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: Thingyago:WikicatLieAlgebrasyago:Abstraction100002137yago:Algebra106012726yago:Cognition100023271yago:Content105809192yago:Discipline105996646yago:Group100031264yago:KnowledgeDomain105999266yago:Mathematics106000644yago:PsychologicalFeature100023100yago:PureMathematics106003682airportyago:Science105999797yago:WikicatQuantumGroups New Facet based on Instances of this Class

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.