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math.RT2024
Global Weyl modules for thin Lie algebras are finite-dimensional
Vladimir Dotsenko, Sergey Mozgovoy
The notion of Weyl modules, both local and global, goes back to Chari and Pressley in the case of affine Lie algebras, and has been extensively studied for various Lie algebras gra…
math.QA2024
Hidden structures behind ambient symmetries of the Maurer-Cartan equation
Vladimir Dotsenko, Sergey Shadrin
For every differential graded Lie algebra one can define two different group actions on the Maurer-Cartan elements: the ubiquitous gauge action and the action of $\m…