On the Ext algebras of parabolic Verma modules and A infinity-structures
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On the Ext algebras of parabolic Verma modules and A infinity-structures. / Klamt, Angela; Stroppel, Catharina.
In: Journal of Pure and Applied Algebra, Vol. 216, No. 2, 02.2012, p. 323-336 .Research output: Contribution to journal › Journal article › Research › peer-review
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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