ON ROOT MULTIPLICITIES OF $H A_n^{(1)}$-Reference-Cited by-同舟云学术

ON ROOT MULTIPLICITIES OF $H A_n^{(1)}$

Published:2002-06 Issue:03 Volume:12 Page:477-508
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

HONTZ JENNIFER¹,MISRA KAILASH C.²

Affiliation:

1. Department of Mathematics and Computer Science, Meredith College, Raleigh, NC 27607-5298, USA

2. Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA

Abstract

We determine the root multiplicities of the Kac–Moody Lie algebra [Formula: see text] of indefinite type using a recursive root multiplicity formula due to Kang. We view [Formula: see text] as a representation of its subalgebra [Formula: see text] and then use the combinatorics of the irreducible representations of [Formula: see text] to determine the root multiplicities.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196702000730

Reference10 articles.

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2. Indefinite Kac-Moody Algebras of Classical Type

3. Indefinite Kac-Moody algebras of special linear type

4. A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2

5. Lie algebra homology and the Macdonald-Kac formulas

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