GIM algebras and their modules | BlMSA Integrable Systems Seminar-清华大学求真书院

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GIM algebras and their modules | BlMSA Integrable Systems Seminar

来源： 04-11

时间：2024-04-12 Fri 21:30-22:30

地点：ZOOM: 873 9209 0711 BIMSA

组织者：Nicolai Reshetikhin, Andrey Tsiganov, lvan Sechin

主讲人：Limeng Xi Jiangsu University

Abstract

In this talk, we mainly introduce some background of the structure, the representation and theguantization of the generalized intersection matrix algebras. Then we introduce a result on finitedimensional modules over indefinite type Kac-Moody Lie algebras. lt is given in a joint work withHongmei Hu and Yilan Tan.

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Instruction for choosing courses in the direction Algebra and Number
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Bi-Hamiltonian structures of integrable many-body models from Poissonreduction | BlMSA Integrable Systems Seminar
AbstractWe review our results on bi-Hamiltonian structures of trigonometric spin Sutherland models builton collective spin variables. Our basic observation was that the cotangent bundle T'*U(n) and itsholomorphic analogue T'*GL(n, C), as well as T"*GL(n, C)k, carry a natural quadratic Poissonbracket, which is compatible with the canonical linear one. The quadratic bracket arises by changeof va...
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书院学术

GIM algebras and their modules | BlMSA Integrable Systems Seminar

Instruction for choosing courses in the direction Algebra and Number

Bi-Hamiltonian structures of integrable many-body models from Poissonreduction | BlMSA Integrable Systems Seminar

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