Unit for Representation Theory of Lie Algebras, Number Theory, and Related Structures

Authors: Dražen Adamović, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše Journal of Algebra, Volume 500, 2018, Pages 117-152, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2016.12.005 (http://www.sciencedirect.com/science/article/pii/S0021869316304604) Abstract: We find all values of , for which the embedding of the maximal affine vertex algebra in a simple minimal W-algebra is conformal, where ,is […]

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 […]

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.