Recurrence relations, Dynkin diagrams and Plücker formulae

John M. Burns; Michael J. Clancy

doi:10.1017/S0017089507003412

Recurrence relations, Dynkin diagrams and Plücker formulae

John M. Burns
, Michael J. Clancy

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	53-59
Number of pages	7
Journal	Glasgow Mathematical Journal
Volume	49
Issue number	1
DOIs	https://doi.org/10.1017/S0017089507003412
Publication status	Published - Jan 2007
Externally published	Yes

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AB - 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.

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Recurrence relations, Dynkin diagrams and Plücker formulae

Abstract

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