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RECURRENCE RELATIONS, DYNKIN DIAGRAMS AND PLÜCKER FORMULAE

Published online by Cambridge University Press:  01 January 2007

JOHN M. BURNS  and
MICHAEL J. CLANCY
JOHN M. BURNS
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland
MICHAEL J. CLANCY
Affiliation:
School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland
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Abstract.

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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.

Keywords

17B20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 1 , January 2007 , pp. 53 - 59
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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