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

Leader: Prof. Pavle Pandžić

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\mathfrak{sl}_2-Harish-Chandra modules for \mathfrak{sl}_2 \ltimes L(4)

Wednesday February 2nd, 2022 Rafael Mrđen 0

Authors: Volodymyr Mazorchuk, Rafael Mrđen Journal of Mathematical Physics 63, 021701 (2022) https://doi.org/10.1063/5.0064387

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On the representation theory of the vertex algebra L_{-5/2}(sl(4))

Thursday December 16th, 2021 Rafael Mrđen 0

Authors: Dražen Adamović, Ozren Perše, Ivana Vukorepa Communications in Contemporary Mathematics https://doi.org/10.1142/S0219199721501042

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Some homological properties of category \mathcal{O}, V

Tuesday December 14th, 2021 Rafael Mrđen 0

Authors: Hankyung Ko, Volodymyr Mazorchuk, Rafael Mrđen International Mathematics Research Notices, Advance articles, 1-45 (2021) https://doi.org/10.1093/imrn/rnab330  

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Some homological properties of category \mathcal{O}. VI

Tuesday December 14th, 2021 Rafael Mrđen 0

Authors: Hankyung Ko, Volodymyr Mazorchuk, Rafael Mrđen Doc. Math. 26, 1237-1269 (2021) https://doi.org/10.25537/dm.2021v26.1237-1269

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Research unit

  • Unit for Theory of Quantum and Complex Systems – QuantiX
  • Unit for Representation Theory of Lie Algebras, Number Theory, and Related Structures

Recent Posts

  • \mathfrak{sl}_2-Harish-Chandra modules for \mathfrak{sl}_2 \ltimes L(4)
  • On the representation theory of the vertex algebra L_{-5/2}(sl(4))
  • Some homological properties of category \mathcal{O}, V
  • Some homological properties of category \mathcal{O}. VI
  • Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part
  • Galilean W_3 algebra
  • Bigrassmannian permutations and Verma modules
  • Lie Groups, Number Theory, and Vertex Algebras
  • A realisation of the Bershadsky–Polyakov algebras and their relaxed modules
  • The Vertex Algebras \mathcal{R}^{(p)} and \mathcal{V}^{(p)}

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