A BGG-type resolution for tensor modules over general linear superalgebra

Shun Jen Cheng; Jae Hoon Kwon; Ngau Lam

doi:10.1007/s11005-008-0231-1

A BGG-type resolution for tensor modules over general linear superalgebra

Shun Jen Cheng, Jae Hoon Kwon, Ngau Lam

Department of Mathematics

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

15 Citations (Scopus)

Abstract

We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear superalgebra. As a consequence it follows that the unique maximal submodule of a corresponding reducible Kac module is generated by its proper singular vector.

Original language	English
Pages (from-to)	75-87
Number of pages	13
Journal	Letters in Mathematical Physics
Volume	84
Issue number	1
DOIs	https://doi.org/10.1007/s11005-008-0231-1
Publication status	Published - 2008 Apr

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s11005-008-0231-1

Cite this

@article{f8975af1927f4a73918f33e47a50a906,

title = "A BGG-type resolution for tensor modules over general linear superalgebra",

abstract = "We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear superalgebra. As a consequence it follows that the unique maximal submodule of a corresponding reducible Kac module is generated by its proper singular vector.",

author = "Cheng, {Shun Jen} and Kwon, {Jae Hoon} and Ngau Lam",

note = "Funding Information: Shun-Jen Cheng was partially supported by an NSC-grant of the ROC and an Academia Sinica Investigator grant. Jae-Hoon Kwon was partially supported by KRF-grant 2005-070-C00004. Ngau Lam was partially supported by an NSC-grant 96-2115-M-006-008-MY3 of the ROC.",

year = "2008",

month = apr,

doi = "10.1007/s11005-008-0231-1",

language = "English",

volume = "84",

pages = "75--87",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - A BGG-type resolution for tensor modules over general linear superalgebra

AU - Cheng, Shun Jen

AU - Kwon, Jae Hoon

AU - Lam, Ngau

N1 - Funding Information: Shun-Jen Cheng was partially supported by an NSC-grant of the ROC and an Academia Sinica Investigator grant. Jae-Hoon Kwon was partially supported by KRF-grant 2005-070-C00004. Ngau Lam was partially supported by an NSC-grant 96-2115-M-006-008-MY3 of the ROC.

PY - 2008/4

Y1 - 2008/4

N2 - We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear superalgebra. As a consequence it follows that the unique maximal submodule of a corresponding reducible Kac module is generated by its proper singular vector.

AB - We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear superalgebra. As a consequence it follows that the unique maximal submodule of a corresponding reducible Kac module is generated by its proper singular vector.

UR - http://www.scopus.com/inward/record.url?scp=42149138427&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42149138427&partnerID=8YFLogxK

U2 - 10.1007/s11005-008-0231-1

DO - 10.1007/s11005-008-0231-1

M3 - Article

AN - SCOPUS:42149138427

SN - 0377-9017

VL - 84

SP - 75

EP - 87

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 1

ER -

A BGG-type resolution for tensor modules over general linear superalgebra

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this