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- W4323322570 abstract "It has been known since their birth in Bao and Wang’s work that the <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=modifying above d with tless i> <mml:semantics> <mml:mi>ı<!-- ı --></mml:mi> <mml:annotation encoding=application/x-tex>imath</mml:annotation> </mml:semantics> </mml:math> </inline-formula>canonical bases of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=modifying above d with tless i> <mml:semantics> <mml:mi>ı<!-- ı --></mml:mi> <mml:annotation encoding=application/x-tex>imath</mml:annotation> </mml:semantics> </mml:math> </inline-formula>quantum groups are not stable in general. In the author’s previous work, the stability of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=modifying above d with tless i> <mml:semantics> <mml:mi>ı<!-- ı --></mml:mi> <mml:annotation encoding=application/x-tex>imath</mml:annotation> </mml:semantics> </mml:math> </inline-formula>canonical bases of certain quasi-split types turned out to be closely related to the theory of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=modifying above d with tless i> <mml:semantics> <mml:mi>ı<!-- ı --></mml:mi> <mml:annotation encoding=application/x-tex>imath</mml:annotation> </mml:semantics> </mml:math> </inline-formula>crystals. In this paper, we prove the stability of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=modifying above d with tless i> <mml:semantics> <mml:mi>ı<!-- ı --></mml:mi> <mml:annotation encoding=application/x-tex>imath</mml:annotation> </mml:semantics> </mml:math> </inline-formula>canonical bases of irreducible finite type of real rank <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=1> <mml:semantics> <mml:mn>1</mml:mn> <mml:annotation encoding=application/x-tex>1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, for which the theory of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=modifying above d with tless i> <mml:semantics> <mml:mi>ı<!-- ı --></mml:mi> <mml:annotation encoding=application/x-tex>imath</mml:annotation> </mml:semantics> </mml:math> </inline-formula>crystals has not been developed, by means of global and local crystal bases." @default.
- W4323322570 created "2023-03-07" @default.
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- W4323322570 date "2023-03-06" @default.
- W4323322570 modified "2023-09-29" @default.
- W4323322570 title "Stability of 𝚤canonical bases of irreducible finite type of real rank one" @default.
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- W4323322570 doi "https://doi.org/10.1090/ert/639" @default.
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