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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
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 ...
Representation theory of three-dimensional Sklyanin algebras
noncommutative algebraic geometry representation theory supersymmetric string theory three-dimensional Sklyanin algebra
2011/9/9
Abstract: We determine the dimensions of irreducible representations of the three-dimensional Sklyanin algebras. This contributes to the study of marginal deformations of the N=4 super Yang-Mills theo...