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pro vyhledávání: '"Kalmykov, Artem"'
Autor:
Bodish, Elijah, Kalmykov, Artem
Inspired by Etingof--Varchenko's dynamical fusion, dynamical $R$-matrix, and dynamical Weyl group for Lie algebras, we introduce, for split symmetric pairs, versions of dynamical fusion, dynamical $K$-matrix, and dynamical Weyl group. We then turn to
Externí odkaz:
http://arxiv.org/abs/2405.08126
Autor:
Kalmykov, Artem, Li, Brian
In this paper, we study intertwining operators between subregular Whittaker modules of $\gl_N$ generalizing, on the one hand, the classical exchange construction of dynamical quantum groups, on the other hand, earlier results for principal W-algebras
Externí odkaz:
http://arxiv.org/abs/2310.19040
Autor:
Kalmykov, Artem
We construct an element, which we call the Kirillov projector, that connects the topics of the title: on the one hand, it is defined using the Yangian of $\mathfrak{gl}_N$, on the other hand, it gives a canonical projection onto the space of Whittake
Externí odkaz:
http://arxiv.org/abs/2310.06669
Autor:
Kalmykov, Artem, Safronov, Pavel
We present a categorical point of view on dynamical quantum groups in terms of categories of Harish-Chandra bimodules. We prove Tannaka duality theorems for forgetful functors into the monoidal category of Harish-Chandra bimodules in terms of a sligh
Externí odkaz:
http://arxiv.org/abs/2008.09081
Publikováno v:
SpringerBriefs in Mathematical Physics, 2021
These are notes from an informal mini-course on factorization homology, infinity-categories, and topological field theories. The target audience was imagined to be graduate students who are not homotopy theorists.
Comment: Preprint of a book of
Comment: Preprint of a book of
Externí odkaz:
http://arxiv.org/abs/1907.00066
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