Abelianization of the BGG resolution of representations of the Virasoro algebra

B. L. Feigin

doi:10.1007/s10688-011-0032-7

Abelianization of the BGG resolution of representations of the Virasoro algebra

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

Abstract

We construct a resolution that permits computing the t-character of representations of the Virasoro algebra from the (2,2p + 1)-models, i. e., the characters of the associated graded spaces with respect to the Poincaré-Birkhoff-Witt filtration.

Original language	English
Pages (from-to)	297-304
Number of pages	8
Journal	Functional Analysis and its Applications
Volume	45
Issue number	4
DOIs	https://doi.org/10.1007/s10688-011-0032-7
State	Published - Dec 2011
Externally published	Yes

Keywords

Virasoro algebra
abelianization
t-characters of irreducible representations

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1007/s10688-011-0032-7

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title = "Abelianization of the BGG resolution of representations of the Virasoro algebra",

abstract = "We construct a resolution that permits computing the t-character of representations of the Virasoro algebra from the (2,2p + 1)-models, i. e., the characters of the associated graded spaces with respect to the Poincar{\'e}-Birkhoff-Witt filtration.",

keywords = "Virasoro algebra, abelianization, t-characters of irreducible representations",

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year = "2011",

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doi = "10.1007/s10688-011-0032-7",

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AU - Feigin, B. L.

PY - 2011/12

Y1 - 2011/12

N2 - We construct a resolution that permits computing the t-character of representations of the Virasoro algebra from the (2,2p + 1)-models, i. e., the characters of the associated graded spaces with respect to the Poincaré-Birkhoff-Witt filtration.

AB - We construct a resolution that permits computing the t-character of representations of the Virasoro algebra from the (2,2p + 1)-models, i. e., the characters of the associated graded spaces with respect to the Poincaré-Birkhoff-Witt filtration.

KW - Virasoro algebra

KW - abelianization

KW - t-characters of irreducible representations

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U2 - 10.1007/s10688-011-0032-7

DO - 10.1007/s10688-011-0032-7

M3 - مقالة

SN - 0016-2663

VL - 45

SP - 297

EP - 304

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

IS - 4

ER -

Abelianization of the BGG resolution of representations of the Virasoro algebra

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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