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Seminar by Leonid Chekhov (Steklov Mathematical Institute)

Title: Groupoids of block-upper-triangular matrices

2013.11.01 | Christine Dilling

Date Wed 02 Mar
Time 15:15 17:15
Location Aud. D3


(based on joint work with Marta Mazzocco)
We introduce the generalization of groupoids of upper-triangular matrices by Bondal to the case where the matrix A is composed from the $m\times m$-blocks. We find the corresponding algebroid structure and the Poisson brackets for entries of A. These brackets are independent on m and coincide with those in the case of Sp(2n) algebra investigated by Molev, Ragoucy and Sorba. The affinnization of these brackets is the twisted Yangian algebra; we find the action of the (affine) braid group and all the central elements of this algebra.