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KAC-MOODY: 作品数：30被引量：11H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：葛墨林唐晓艳张知学刘斌吕景发更多>>; 相关机构：中国科学院数学与系统科学研究院上海交通大学兰州大学河北大学更多>>; 相关期刊：《Science China Mathematics》《Communications in Theoretical Physics》《Chinese Physics B》《首都师范大学学报（自然科学版）》更多>>; 相关基金：国家自然科学基金河北省自然科学基金国家教育部博士点基金国家重点基础研究发展计划更多>>

Hall Algebras and Quantum Symmetric Pairs of Kac-Moody Type Ⅱ: 《Acta Mathematica Sinica,English Series》2024年第3期806-822,共17页Ming LU Run Ze SHANG; Supported by NSFC(Grant No.12171333)。; We extend the ■Hall algebra realization of ■quantum groups arising from quantum symmetric pairs,which establishes an injective homomorphism from the universal ■quantum group of Kac-Moody type to the ■Hall algebra ...; 关键词：Quantum symmetric pairs Hall algebras Quiver with involutions

Painlevéanalysis,infinite dimensional symmetry group and symmetry reductions for the(2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation被引量：2: 《Communications in Theoretical Physics》2023年第8期63-68,共6页Bo Ren Ji Lin Wan-Li Wang; supported by the National Natural Science Foundation of China Grant Nos.11775146,11835011 and 12105243.; The(2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani(KdVSKR)equation is studied by the singularity structure analysis.It is proven that it admits the Painlevéproperty.The Lie algebras which depend on three...; 关键词：KdVSKR equation Painleve analysis Lie point symmetry Kac-Moody-Virasoro algebra

Computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces: 《Frontiers of Mathematics in China》2022年第3期437-454,共18页Xu-an ZHAO; National Natural Science Foundation of China(Grant No.12071034).; In this paper we introduce the history and present situation of the computation of the cohomology rings of Kac-Moody groups,their flag manifolds and classifying spaces,and give some problems and conjectures that deser...; 关键词：Kac-Moody groups flag manifolds classifying spaces cohomology rings spectral sequences

Kac-Moody-Virasoro可积系统: 《宁波大学学报（理工版）》2020年第5期83-92,共10页赵启亮贾曼楼森岳; 国家自然科学基金(11975131,11675084);宁波市自然科学基金(2015A610159);宁波大学王宽诚幸福基金。; 通过研究Kadomtsev-Petviashvilli(KP)方程对称,得到相应的无穷维李代数——Kac-Moody-Virasoro(KMV)代数,并运用KMV代数的生成元和其中一个子代数——Virasoro代数的延拓结构,推导出熟知的Kadomtsev-Petviashvilli(KP)方程,并以此为基...; 关键词：李群李代数 Kac-Moody-Virasoro代数 KP方程组 CK直接法可积性

Rigid reflections and Kac-Moody algebras: 《Science China Mathematics》2019年第7期1317-1330,共14页Kyu-Hwan Lee Kyungyong Lee; supported by a grant from the Simons Foundation (Grant No. 318706);supported by National Science Foundation of USA (Grant No. DMS 1800207)the University of Nebraska-Lincoln;Korea Institute for Advanced Study; Given any Coxeter group, we define rigid reflections and rigid roots using non-self-intersecting curves on a Riemann surface with labeled curves. When the Coxeter group arises from an acyclic quiver, they are related ...; 关键词：Coxeter groups RIGID REFLECTIONS RIGID roots non-self-crossing curves KAC-MOODY ALGEBRAS

Simple Kac-Moody groups with trivial Schur multipliers被引量：1: 《Science China Mathematics》2018年第2期311-316,共6页Jun Morita; supported by the Grants-in-Aid for Scientific Research of Japan(MonkashoKakenhi)(Grant No.26400005); We obtain new examples of simple Kac-Moody groups with trivial Schur multipliers.; 关键词：Kac-Moody group simple group Schur multiplier

The double Ringel-Hall algebra on a hereditary abelian finitary length category: 《Science China Mathematics》2011年第2期381-397,共17页DOU RuJing LIU QunHua XIAO Jie; supported in part by NSF of China (Grant No. 10631010);NKBRPC (Grant No. 2006CB805905); In this paper, we study the category H (ρ) of semi-stable coherent sheaves of a fixed slope ρ over a weighted projective curve. This category has nice properties: it is a hereditary abelian finitary length category....; 关键词：Ringei-Hall algebra generalized Kac-Moody Lie algebra coherent sheaf semi-stability

Extension of a quantized enveloping algebra by a Hopf algebra被引量：1: 《Science China Mathematics》2010年第5期300-307,共8页WU ZhiXiang Department of Mathematics,Zhejiang University,Hangzhou 310027,China; supported by Zhejiang Natural Science Foundation (Grant No.Y607136); Suppose that H is a Hopf algebra,and g is a generalized Kac-Moody algebra with Cartan matrix A =(aij)I×I,where I is an index set and is equal to either {1,2,...,n} or the natural number set N.Let f,g be two mappings ...; 关键词：QUANTUM enveloping ALGEBRA HOPF ALGEBRA KAC-MOODY ALGEBRA

Kac-Moody-Virasoro Symmetry Algebra of (2+1)-Dimensional Dispersive Long-Wave Equation with Arbitrary Order Invariant: 《Communications in Theoretical Physics》2010年第3期450-454,共5页张焕萍李彪陈勇; Supported by the Natural Science Foundation of China under Grant No. 10735030;Ningbo Natural Science Foundation under Grant No. 2008A610017;National Basic Research Program of China (973 Program 2007CB814800);Shanghai Leading Academic Discipline Project under Grant No. B412;Program for Changjiang Scholars and Innovative Research Team in University (IRT0734);K.C. Wong Magna Fund in Ningbo University; By Lie symmetry method, the Lie point symmetries and its Kac-Moody-Virasoro (KMV) symmetry algebra of (2+1)-dimensional dispersive long-wave equation (DLWE) are obtained, and the finite transformation of DLWE is given...; 关键词：Kac Moody Virasoro symmetry algebra dispersive long-wave equation symmetry reduction group invariant solutions

Kac-Moody-Virasoro symmetry algebra of a (2+1)-dimensional bilinear system被引量：2: 《Chinese Physics B》2008年第3期747-753,共7页李金花楼森岳; Project supported by the National Natural Science Foundation of China(Grant Nos10475055 and 90503006);the Science Research Fund of Zhejiang Provincial Education Department,China(Grant No20040969); Based on some known facts of integrable models, this paper proposes a new （2＋1）-dimensional bilinear model equation. By virtue of the formal series symmetry approach, the new model is proved to be integrable becaus...; 关键词：general symmetries Kac-Moody Virasoro symmetry algebra symmetry reduction

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