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History of the canonical basis and crystal basis (2507.20816v1)

Published 28 Jul 2025 in math.HO

Abstract: The history of the canonical basis and crystal basis of a quantized enveloping algebra and its representations is presented

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Open Problems

  1. Kashiwara’s 1990 conjecture on B(λ) forming a Q-basis of L(λ)/vL(λ)
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Authors (1)

  1. G. Lusztig
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  1. Lusztig posted on the arXiv today saying Kashiwara has a history of claiming precedence for some of his work in representation theory (236 points, 28 comments)

alphaXiv

  1. History of the canonical basis and crystal basis (16 likes, 0 questions)