On the Ext algebras of parabolic Verma modules and A infinity-structures

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Standard

On the Ext algebras of parabolic Verma modules and A infinity-structures. / Klamt, Angela; Stroppel, Catharina.

I: Journal of Pure and Applied Algebra, Bind 216, Nr. 2, 02.2012, s. 323-336 .

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Klamt, A & Stroppel, C 2012, 'On the Ext algebras of parabolic Verma modules and A infinity-structures', Journal of Pure and Applied Algebra, bind 216, nr. 2, s. 323-336 . <https://www.sciencedirect.com/science/article/pii/S0022404911001599>

APA

Klamt, A., & Stroppel, C. (2012). On the Ext algebras of parabolic Verma modules and A infinity-structures. Journal of Pure and Applied Algebra, 216(2), 323-336 . https://www.sciencedirect.com/science/article/pii/S0022404911001599

Vancouver

Klamt A, Stroppel C. On the Ext algebras of parabolic Verma modules and A infinity-structures. Journal of Pure and Applied Algebra. 2012 feb.;216(2):323-336 .

Author

Klamt, Angela ; Stroppel, Catharina. / On the Ext algebras of parabolic Verma modules and A infinity-structures. I: Journal of Pure and Applied Algebra. 2012 ; Bind 216, Nr. 2. s. 323-336 .

Bibtex

@article{be36efb6b12645a18965075ca85dbcc8,
title = "On the Ext algebras of parabolic Verma modules and A infinity-structures",
abstract = "We study the Ext-algebra of the direct sum of all parabolic Verma modules in the principal block of the Bernstein–Gelfand–Gelfand category O for the Hermitian symmetric pair (gln+m,gln¿glm) and present the corresponding quiver with relations for the cases n=1,2. The Kazhdan–Lusztig combinatorics is used to deduce a general vanishing result for the higher multiplications in the A8-structure of a minimal model. An example of higher multiplications with non-vanishing m3 is included.",
keywords = "Faculty of Science",
author = "Angela Klamt and Catharina Stroppel",
year = "2012",
month = feb,
language = "English",
volume = "216",
pages = "323--336 ",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier BV * North-Holland",
number = "2",

}

RIS

TY - JOUR

T1 - On the Ext algebras of parabolic Verma modules and A infinity-structures

AU - Klamt, Angela

AU - Stroppel, Catharina

PY - 2012/2

Y1 - 2012/2

N2 - We study the Ext-algebra of the direct sum of all parabolic Verma modules in the principal block of the Bernstein–Gelfand–Gelfand category O for the Hermitian symmetric pair (gln+m,gln¿glm) and present the corresponding quiver with relations for the cases n=1,2. The Kazhdan–Lusztig combinatorics is used to deduce a general vanishing result for the higher multiplications in the A8-structure of a minimal model. An example of higher multiplications with non-vanishing m3 is included.

AB - We study the Ext-algebra of the direct sum of all parabolic Verma modules in the principal block of the Bernstein–Gelfand–Gelfand category O for the Hermitian symmetric pair (gln+m,gln¿glm) and present the corresponding quiver with relations for the cases n=1,2. The Kazhdan–Lusztig combinatorics is used to deduce a general vanishing result for the higher multiplications in the A8-structure of a minimal model. An example of higher multiplications with non-vanishing m3 is included.

KW - Faculty of Science

M3 - Journal article

VL - 216

SP - 323

EP - 336

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 2

ER -

ID: 35936116