most citedA-infinity structures on the algebra of extensions of Verma modules in the parabolic category O

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math.RT2011★ 1 cited

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

Angela Klamt, Catharina Stroppel

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 $(\mat…

math.RT2011★ 7 cited

A-infinity structures on the algebra of extensions of Verma modules in the parabolic category O

Angela Klamt

This is the author's diploma thesis. In the first part of the thesis the algebra structure on the Ext-spaces Ext^k(M(x), M(y)) of Verma modules M(x) and M(y) in the parabolic categ…