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Jedinica za teoriju reprezentacija Liejevih algebri, teoriju brojeva i pridružene strukture

Voditelj: Prof.dr.sc. Pavle Pandžić

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Join operation for the Bruhat order and Verma modules

14/08/2024 Rafael Mrđen 0

Authors: Hankyung Ko, Volodymyr Mazorchuk, Rafael Mrđen Israel Journal of Mathematics (2024), 65 p, DOI: 10.1007/s11856-024-2637-6 https://link.springer.com/article/10.1007/s11856-024-2637-6

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

02/02/2022 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))

16/12/2021 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

14/12/2021 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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Istraživačke jedinice

  • Jedinica za teoriju kvantnih i kompleksnih sustava – QuantiX
  • Jedinica za teoriju reprezentacija Liejevih algebri, teoriju brojeva i pridružene strukture

Novo

  • Join operation for the Bruhat order and Verma modules
  • \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

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