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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 ...
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 $\dim\,{\cal L}_\lambda=1$...
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...
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...
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...
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...
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...
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...
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 ...

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