On the Ext algebras of parabolic Verma modules and A infinity-structures
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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.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Pure and Applied Algebra |
Vol/bind | 216 |
Udgave nummer | 2 |
Sider (fra-til) | 323-336 |
Antal sider | 14 |
ISSN | 0022-4049 |
Status | Udgivet - feb. 2012 |
- Det Natur- og Biovidenskabelige Fakultet
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