Grobner-Shirshov bases for irreducible sln+1-modules

[摘要] We determine the Grobner-Shirshov bases for finite-dimensional irreducible representations of the special linear Lie algebra sl(n+1) and construct explicit monomial bases for these representations. We also show that each of these monomial bases is in 1-1 correspondence with the set of semistandard Young tableaux of a given shape. (C) 2000 Academic Press.

[发布日期] 2000-10-01