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Communications in Algebra Volume 45, 2017 - Issue 11

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Original Articles

A combinatorial approach to root multiplicities of rank 2 hyperbolic Kac–Moody algebras

Seok-Jin KangSeoul, Republic of Korea

Kyu-Hwan LeeDepartment of Mathematics, University of Connecticut, Storrs, Connecticut, USACorrespondence[email protected]

Kyungyong LeeDepartment of Mathematics, University of Nebraska–Lincoln, Lincoln, Nebraska, USA;Korea Institute for Advanced Study, Seoul, Republic of Korea

Pages 4785-4800 | Received 30 Nov 2016, Published online: 13 Apr 2017

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https://doi.org/10.1080/00927872.2017.1281935
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ABSTRACT

In this paper we study root multiplicities of rank 2 hyperbolic Kac–Moody algebras using the combinatorics of Dyck paths.

KEYWORDS:

Dyck path
hyperbolic Kac–Moody algebra
Root multiplicity

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Primary 17B67, 17B22
Secondary 05E15

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