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Affine, vertex and W-algebras, Roma, December 11-15, 2017

Wednesday January 17th, 2018 Rafael Mrđen 0

International mini-workshop “Affine, vertex and W-algebras” was held in Roma, on December 11-15, 2017. The organizers were Dražen Adamović, University of Zagreb, and Paolo Papi, Sapienza Università di Roma. Members of the QuantiXLie participated in the workshop. http://www1.mat.uniroma1.it/people/papi/AVW.html

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Translation principle for Dirac index

Sunday December 3rd, 2017 Rafael Mrđen 0

Authors: Salah Mehdi, Pavle Pandžić, David Vogan American Journal of Mathematics, Volume 139, Number 6, December 2017 , pp. 1465-1491; doi:10.1353/ajm.2017.0037 Abstract: Let be a finite cover of a closed connected transpose-stable subgroup of with complexified Lie algebra . Let be a maximal compact subgroup of , and assume that and have equal rank. We prove a […]

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BGG complexes in singular infinitesimal character for type A

Sunday December 3rd, 2017 Rafael Mrđen 0

Authors: Pavle Pandžić, Vladimír Souček Journal of Mathematical Physics 58, 111512 (2017); https://doi.org/10.1063/1.4986121 Abstract: We give a geometric construction of the Bernstein-Gel’fand-Gel’fand (BGG) resolutions in singular infinitesimal character in the case of 1-graded complex Lie algebras of type A.

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Dirac operator and its cohomology for the quantum group U_q(\mathfrak{sl}_2)

Sunday December 3rd, 2017 Rafael Mrđen 0

Authors: Pavle Pandžić, Petr Somberg Journal of Mathematical Physics 58, 041702 (2017); https://doi.org/10.1063/1.4979623 Abstract: We introduce a Dirac operator for the quantum group , as an element of the tensor product of  with the Clifford algebra on two generators. We study the properties of , including an analogue of Vogan’s conjecture. We compute the cohomology […]