Low level representations for E(10) and E(11)
Low level representations for E(10) and E(11)
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respective subalgebras A9 and A10 at low levels. Tables of the irreducible representations with their outer multiplicities are presented for E10 up to level ell = 18 and for E11 up to level ell =10. On the way we confirm and extend existing results for E10 root multiplicities, and for the first time compute non-trivial root multiplicities of E11.
kac-moody lie algebras, supergravity, m-theory
0821833375
191-227
American Mathematical Society
Nicolai, Hermann
bede8380-d4c4-4003-84de-8b7fdc1bf434
Fischbacher, Thomas
d3282f31-0a6a-4d19-80d0-e3bebc12f67a
6 January 2003
Nicolai, Hermann
bede8380-d4c4-4003-84de-8b7fdc1bf434
Fischbacher, Thomas
d3282f31-0a6a-4d19-80d0-e3bebc12f67a
Nicolai, Hermann and Fischbacher, Thomas
(2003)
Low level representations for E(10) and E(11).
Sthanumoorthy, N. and Misra, K.C.
(eds.)
In Kac-Moody Lie Algebras and Related Topics.
vol. 343,
American Mathematical Society.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
We work out the decomposition of the indefinite Kac Moody algebras E10 and E11 w.r.t. their respective subalgebras A9 and A10 at low levels. Tables of the irreducible representations with their outer multiplicities are presented for E10 up to level ell = 18 and for E11 up to level ell =10. On the way we confirm and extend existing results for E10 root multiplicities, and for the first time compute non-trivial root multiplicities of E11.
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More information
Submitted date: 6 January 2003
Published date: 6 January 2003
Venue - Dates:
Ramanujan International Symposium on Kac-Moody Lie Algebras and Applications, Chennai, India, 2002-01-28 - 2002-01-31
Keywords:
kac-moody lie algebras, supergravity, m-theory
Identifiers
Local EPrints ID: 46365
URI: http://eprints.soton.ac.uk/id/eprint/46365
ISBN: 0821833375
PURE UUID: 48fc4981-92e0-48ec-9785-03e9c13f8eae
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Date deposited: 22 Jun 2007
Last modified: 11 Dec 2021 16:33
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Contributors
Author:
Hermann Nicolai
Author:
Thomas Fischbacher
Editor:
N. Sthanumoorthy
Editor:
K.C. Misra
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