On the Ext algebras of parabolic Verma modules and A infinity-structures
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Journal of Pure and Applied Algebra |
Volume | 216 |
Issue number | 2 |
Pages (from-to) | 323-336 |
Number of pages | 14 |
ISSN | 0022-4049 |
Publication status | Published - Feb 2012 |
- Faculty of Science
Research areas
ID: 35936116