A combinatorial model for crystals of Kac-Moody algebras (extended abstract)

Cristian Lenart; Alexander Postnikov

A combinatorial model for crystals of Kac-Moody algebras (extended abstract)

Cristian Lenart
, Alexander Postnikov

Mathematics and Statistics

University at Albany

Massachusetts Institute of Technology

Research output: Contribution to conference › Paper › peer-review

Abstract

We present a simple combinatorial model for the characters of the irreducible representations of Kac-Moody algebras. This model can be viewed as a discrete counterpart to the Littelmann path model. We describe crystal graphs and give a Littlewood-Richardson rule for decomposing tensor products of irreducible representations.

Original language	English
Pages	775-786
Number of pages	12
State	Published - 2005
Event	17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05 - Taormina, Italy Duration: Jun 20 2005 → Jun 25 2005

Conference

Conference	17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05
Country/Territory	Italy
City	Taormina
Period	06/20/05 → 06/25/05

Cite this

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title = "A combinatorial model for crystals of Kac-Moody algebras (extended abstract)",

abstract = "We present a simple combinatorial model for the characters of the irreducible representations of Kac-Moody algebras. This model can be viewed as a discrete counterpart to the Littelmann path model. We describe crystal graphs and give a Littlewood-Richardson rule for decomposing tensor products of irreducible representations.",

author = "Cristian Lenart and Alexander Postnikov",

year = "2005",

language = "English",

pages = "775--786",

note = "17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05 ; Conference date: 20-06-2005 Through 25-06-2005",

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TY - CONF

T1 - A combinatorial model for crystals of Kac-Moody algebras (extended abstract)

AU - Lenart, Cristian

AU - Postnikov, Alexander

PY - 2005

Y1 - 2005

N2 - We present a simple combinatorial model for the characters of the irreducible representations of Kac-Moody algebras. This model can be viewed as a discrete counterpart to the Littelmann path model. We describe crystal graphs and give a Littlewood-Richardson rule for decomposing tensor products of irreducible representations.

AB - We present a simple combinatorial model for the characters of the irreducible representations of Kac-Moody algebras. This model can be viewed as a discrete counterpart to the Littelmann path model. We describe crystal graphs and give a Littlewood-Richardson rule for decomposing tensor products of irreducible representations.

UR - https://www.scopus.com/pages/publications/84861173080

M3 - Paper

SP - 775

EP - 786

T2 - 17th Annual International Conference on Algebraic Combinatorics and Formal Power Series, FPSAC'05

Y2 - 20 June 2005 through 25 June 2005

ER -

A combinatorial model for crystals of Kac-Moody algebras (extended abstract)

Abstract

Conference

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