Two-dimensional current algebras and affine fusion product

B. Feigin; E. Feigin

doi:10.1016/j.jalgebra.2006.11.039

Two-dimensional current algebras and affine fusion product

B. Feigin
, E. Feigin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper we study a family of commutative algebras generated by two infinite sets of generators. These algebras are parametrized by Young diagrams. We explain a connection of these algebras with the fusion product of integrable irreducible representations of the affine sl₂ Lie algebra. As an application we derive a fermionic formula for the character of the affine fusion product of two modules. These fusion products can be considered as a simplest example of the double affine Demazure modules.

Original language	English
Pages (from-to)	176-198
Number of pages	23
Journal	Journal of Algebra
Volume	313
Issue number	1 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.jalgebra.2006.11.039
State	Published - 1 Jul 2007
Externally published	Yes

Keywords

Demazure modules
Kac-Moody algebras

Access to Document

10.1016/j.jalgebra.2006.11.039

Cite this

@article{8edadc157aa9446f8f33cededc112f03,

title = "Two-dimensional current algebras and affine fusion product",

abstract = "In this paper we study a family of commutative algebras generated by two infinite sets of generators. These algebras are parametrized by Young diagrams. We explain a connection of these algebras with the fusion product of integrable irreducible representations of the affine sl2 Lie algebra. As an application we derive a fermionic formula for the character of the affine fusion product of two modules. These fusion products can be considered as a simplest example of the double affine Demazure modules.",

keywords = "Demazure modules, Kac-Moody algebras",

author = "B. Feigin and E. Feigin",

year = "2007",

month = jul,

day = "1",

doi = "10.1016/j.jalgebra.2006.11.039",

language = "אנגלית",

volume = "313",

pages = "176--198",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "1 SPEC. ISS.",

}

TY - JOUR

T1 - Two-dimensional current algebras and affine fusion product

AU - Feigin, B.

AU - Feigin, E.

PY - 2007/7/1

Y1 - 2007/7/1

N2 - In this paper we study a family of commutative algebras generated by two infinite sets of generators. These algebras are parametrized by Young diagrams. We explain a connection of these algebras with the fusion product of integrable irreducible representations of the affine sl2 Lie algebra. As an application we derive a fermionic formula for the character of the affine fusion product of two modules. These fusion products can be considered as a simplest example of the double affine Demazure modules.

AB - In this paper we study a family of commutative algebras generated by two infinite sets of generators. These algebras are parametrized by Young diagrams. We explain a connection of these algebras with the fusion product of integrable irreducible representations of the affine sl2 Lie algebra. As an application we derive a fermionic formula for the character of the affine fusion product of two modules. These fusion products can be considered as a simplest example of the double affine Demazure modules.

KW - Demazure modules

KW - Kac-Moody algebras

UR - https://www.scopus.com/pages/publications/34248595615

U2 - 10.1016/j.jalgebra.2006.11.039

DO - 10.1016/j.jalgebra.2006.11.039

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:34248595615

SN - 0021-8693

VL - 313

SP - 176

EP - 198

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1 SPEC. ISS.

ER -

Two-dimensional current algebras and affine fusion product

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this