MULTIPLICITY FORMULAS FOR A CLASS OF REPRESENTATIONS OF AFFINE KAC–MOODY ALGEBRAS

Autor:	Richard H. Capps, Michael A. Lyons
Rok vydání:	1994
Předmět:	Discrete mathematics Pure mathematics Null vector Irreducible representation Statistical and Nonlinear Physics Multiplicity (mathematics) Affine transformation Indecomposable module Affine Lie algebra Finite set Mathematical Physics Mathematics
Zdroj:	Reviews in Mathematical Physics. :97-114
ISSN:	1793-6659 0129-055X
DOI:	10.1142/s0129055x94000067
Popis:	The dominant weight of any highest weight irreducible representation (irrep) of an indecomposable affine algebra may be written in the form Λi – qδ, where the integral index i runs from 1 to some finite number (called the width of the representation), q is any non-negative integer, and δ is a vector called the null vector. All the width-two irreps of all the affine algebras are enumerated. Techniques used in an earlier paper on the width-one irreps are generalized and used to compute simple recursion formulas for the multiplicities of all these dominant weights. These formulas are suitable for rapid calculations. Numerical tables of the multiplicities of the highest 33 dominant weights are given for all the width-two irreps of twisted algebras.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9bef7be1a07d83ffd7ebd0968c89f4de https://doi.org/10.1142/s0129055x94000067 Zobrazit plný text záznamu