RECURRENCE RELATIONS, DYNKIN DIAGRAMS AND PLÜCKER FORMULAE
Identifieur interne : 000948 ( Main/Exploration ); précédent : 000947; suivant : 000949RECURRENCE RELATIONS, DYNKIN DIAGRAMS AND PLÜCKER FORMULAE
Auteurs : John M. Burns [Irlande (pays)] ; Michael J. Clancy [Irlande (pays)]Source :
- Glasgow Mathematical Journal [ 0017-0895 ] ; 2007.
Abstract
We prove a generalisation of an observation of N. Iwahori concerning the coefficients of the extended Dynkin diagram of a complex simple Lie algebra. We relate the combinatorics of these coefficients to the orders of finite groups that act discontinuously on the Riemann sphere and to the Plücker formulae.
Url:
DOI: 10.1017/S0017089507003412
Affiliations:
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<front><div type="abstract" xml:lang="en">We prove a generalisation of an observation of N. Iwahori concerning the coefficients of the extended Dynkin diagram of a complex simple Lie algebra. We relate the combinatorics of these coefficients to the orders of finite groups that act discontinuously on the Riemann sphere and to the Plücker formulae.</div>
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