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On classifying unitary modules by their Dirac cohomology

Sunday December 3rd, 2017 Rafael Mrđen 0

Authors:  Jing-Song Huang, Pavle Pandžić, David Vogan Science China Mathematics, November 2017, Volume 60, Issue 11, pp 1937–1962. https://doi.org/10.1007/s11425-017-9097-8 Abstract: Let  be a connected real reductive group with maximal compact subgroup  of the same rank as . Dirac cohomology of an module can be identified with a geometric object—the -dominant part of a face of the convex hull […]

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The centralizer of K in U(g)\otimes C(p) for the group SO_e(4,1)

Sunday December 3rd, 2017 Rafael Mrđen 0

Author: Ana Prlić Glasnik Matematički, Vol. 52, No. 2 (2017), 275-288. DOI: 10.3336/gm.52.2.07 Abstract. Let be the Lie group , with maximal compact subgroup . Let be the complexification of the Lie algebra of , and let be the universal enveloping algebra of . Let be the Cartan decomposition of , […]

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Conformal embeddings of affine vertex algebras in minimal W-algebras II: decompositions

Monday September 11th, 2017 Rafael Mrđen 0

Authors: Dražen Adamović, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše Japanese Journal of Mathematics, September 2017, Volume 12, Issue 2, pp 261–315. https://doi.org/10.1007/s11537-017-1621-x Abstract: We present methods for computing the explicit decomposition of the minimal simple affine W-algebra  as a module for its maximal affine subalgebra  at a conformal level k, that is, whenever the Virasoro vectors of  and  coincide. A particular emphasis […]

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Representation Theory XV, Dubrovnik, Croatia, June 18 – 25, 2017

Thursday June 15th, 2017 Rafael Mrđen 0

Representation Theory XV is a conference and a postgraduate school on representation theory. The topics are representations of real and p-adic Lie groups, representations of Kac-Moody Lie algebras, vertex operator algebras, quantum groups. The conference will be held in Dubrovnik, June 18 – June 25, 2017 at the Inter-University Centre. […]