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Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras
Mathematica Lie algebra ane Lie algebra Kac-Moody algebra root system weights irreducible modules CFT Integrable systems
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2011/9/19
Abstract: In this paper we present Affine.m - program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. Algorithms are based ...
Classification of Simple Lie Algebras on a Lattice
Simple Lie Algebras Lattice Representation Theory Mathematical Physics
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2011/9/1
Abstract: Let $\Lambda$ be a lattice of rank $n$. A Lie algebra on the lattice $\Lambda$ is a Lie algebra ${\cal L}=\oplus_{\lambda\in\Lambda}\,{\cal L}_{\lambda}$ such that $\dim\,{\cal L}_\lambda=1$...
Surfaces immersed in Lie algebras associated with elliptic integrals
Generalized symmetries integrable models surfaces immersed in Lie algebras
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2011/7/26
Surfaces immersed in Lie algebras associated with elliptic integrals.
CleGo: A package for automated computation of Clebsch-Gordan coefficients in Tensor Product Representations for Lie Algebras A - G
automated computation Clebsch-Gordan coefficients Tensor Product Representations
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2010/12/27
We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A-G based on the explicit construction of weight states. This straightforward ap...
Yang-Baxter operators from (G, \theta)-Lie algebras
Yang-Baxter operators Lie algebras
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2010/12/27
The (G, \theta)-Lie algebras are structures which unify the Lie algebras and Lie superalgebras. We use them to produce solutions for the quantum Yang-Baxter equation. The constant and the spectral-pa...
Lie Algebras Associated with Group U(n)
Lie algebra group integrable couplings
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2007/8/15
2007Vol.48No.2pp.215-226DOI:
Lie Algebras Associated with Group U(n)
ZHANG Yu-Feng,1 DONG Huang-He,2 and Honwah Tam3
1 Mathematical School, Liaoning Normal University, D...
Indecomposable Representations of the Square-Root Lie Algebras
of Vector Type and Their Boson Realizations
nonlinear Lie algebra indecomposable representation
boson realization angular momentum coherent state
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2007/8/15
2001Vol.35No.5pp.513-518DOI:
Indecomposable Representations of the Square-Root Lie Algebras
of Vector Type and Their Boson Realizations
RUAN Dong,1,2,3 YUAN Jing,1 JIA Yu-Feng1 an...
Matrix Lie Algebras and Integrable Couplings
Lie algebra integrable couplings GJ hierarchy
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2007/8/15
2006Vol.46No.5pp.812-818DOI:
Matrix Lie Algebras and Integrable Couplings
ZHANG Yu-Feng1 and GUO Fu-Kui2
1 Mathematical School, Liaoning Normal University, Dalian 116029...
Two Kinds of New Lie Algebras for Producing Integrable Couplings
KN hierarchy integrable couplings Lie algebra loop algebra
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2007/8/15
2006Vol.46No.2pp.203-208DOI:
Two Kinds of New Lie Algebras for Producing Integrable Couplings
YAN Qing-You and QI Jian-Xun
School of Business Administration, North China...
Generalized Toda Mechanics Associated with Classical Lie Algebras and Their Reductions
Lax pair Poisson brackets Toda chains
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2007/8/15
2004Vol.41No.3pp.339-348DOI:
Generalized Toda Mechanics Associated with Classical Lie Algebras and Their Reductions
ZHAO Liu, LIU Wang-Yun, and YANG Zhan-Ying
Institute ...