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The Blow-Up Analysis on B2(1) Affine Toda System: Local Mass and Affine Weyl Group

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成果类型:
期刊论文
作者:
Cui, Leilei;Wei, Jun-cheng;Yang, Wen;Zhang, Lei
通讯作者:
Yang, W
作者机构:
[Cui, Leilei] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Wei, Jun-cheng] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada.
[Yang, Wen; Yang, W] Chinese Acad Sci, Wuhan Inst Phys & Math, Innovat Acad Precis Measurement Sci & Technol, Wuhan 430071, Peoples R China.
[Zhang, Lei] Univ Florida, Dept Math, 1400 Stadium Rd, Gainesville, FL 32611 USA.
通讯机构:
[Yang, W ] C
Chinese Acad Sci, Wuhan Inst Phys & Math, Innovat Acad Precis Measurement Sci & Technol, Wuhan 430071, Peoples R China.
语种:
英文
期刊:
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
ISSN:
1073-7928
年:
2023
卷:
2023
期:
18
页码:
16140-16199
基金类别:
National Sciences and Engineering Research Council of Canada; National Key Ramp;D Program of China [2022YFA1006800]; Simons Foundation Collaboration Grant; NSFC [12171456, 12271369]
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
It has been established that the local mass of blow-up solutions to Toda systems associated with the simple Lie algebras |$\textbf{A}_{n}$|⁠, |$\textbf{B}_{n}$|⁠, |$\textbf{C}_{n}$|⁠, and |$\textbf{G}_{2}$| can be represented by a finite Weyl group. In particular, at each blow-up point, after a sequence of bubbling steps (via scaling) is performed, the transformation of the local mass at each step corresponds to the action of an element in the Weyl group. In this article, we present the results in the same spirit for the affine |$\textbf{B}_...

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