Dimensions, Indices and Congruence Classes of Representations of Affine Kac-Moody Algebras (with examples for affine E8)

Kass, S. N.; Patera, J.

doi:10.1007/978-1-4613-0913-0_10

S. N. Kass^6,7 &
J. Patera⁶

Part of the book series: NATO Science Series ((NSSB,volume 160))

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Abstract

The purpose of this lecture is to introduce, describe and illustrate affine generalizations of some familiar notions from the representation theory of semisimple Lie algebras/groups. We touch upon the multiplicity of a weight and the dimension, congruence class, and indices of a representation. Our examples of the highest weight representations of affine E₈ can be considered as a preview of far more extensive results of this type to appear (Kass et al., 1987).

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Authors and Affiliations

Centre de recherches mathématiques, Université de Montréal, Montréal, Québec, Canada
S. N. Kass & J. Patera
Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA
S. N. Kass

Authors

S. N. Kass
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J. Patera
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Editors and Affiliations

Chalk River Nuclear Laboratories, Chalk River, Ontario, Canada
H. C. Lee
University of Western Ontario, London, Ontario, Canada
V. Elias
University of Winnipeg, Winnipeg, Manitoba, Canada
G. Kunstatter
University Of Toronto, Toronto, Ontario, Canada
R. B. Mann
Simon Fraser University, Burnaby, British Columbia, Canada
K. S. Viswanathan

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Kass, S.N., Patera, J. (1987). Dimensions, Indices and Congruence Classes of Representations of Affine Kac-Moody Algebras (with examples for affine E₈). In: Lee, H.C., Elias, V., Kunstatter, G., Mann, R.B., Viswanathan, K.S. (eds) Super Field Theories. NATO Science Series, vol 160. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0913-0_10

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DOI: https://doi.org/10.1007/978-1-4613-0913-0_10
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8242-6
Online ISBN: 978-1-4613-0913-0
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