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  Low Level Representations for E10 and E11

Nicolai, H., & Fischbacher, T. (2004). Low Level Representations for E10 and E11. In N. Sthanumoorthy, & K. C. Misra (Eds.), Proceedings of International Symposium on Kac Moody Algebras and Applications (pp. 191-228). Providence, RI: American Mathematical Society.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5090-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5091-A
Genre: Conference Paper

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 Creators:
Nicolai, Hermann1, Author              
Fischbacher, Thomas1, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 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 ` = 18 and for E11 up to level ` = 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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Language(s): eng - English
 Dates: 2004
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 50942
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Title: Ramanujan International Symposium on Kac-Moody Lie Algebras and Applications
Place of Event: Chennai, India
Start-/End Date: 2002-01-28 - 2002-01-31

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Title: Proceedings of International Symposium on Kac Moody Algebras and Applications
Source Genre: Proceedings
 Creator(s):
Sthanumoorthy, N., Editor
Misra, K. C., Editor
Affiliations:
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Publ. Info: Providence, RI : American Mathematical Society
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 191 - 228 Identifier: -

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Title: Contemporary mathematics
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Pages: - Volume / Issue: 343 Sequence Number: - Start / End Page: - Identifier: -