90 citations · 418 across the 58 of their papers we have counts for
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Reduced arc schemes for Veronese embeddings and global Demazure modules
Ilya Dumanski, Evgeny Feigin
We consider arc spaces for the compositions of Pluecker and Veronese embeddings of the flag varieties for simple Lie groups of types ADE. The arc spaces are not reduced and we cons…
Peter-Weyl, Howe and Schur-Weyl theorems for current groups
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi
The classical Peter-Weyl theorem describes the structure of the space of functions on a semi-simple algebraic group. On the level of characters (in type A) this boils down to the C…
Large tensor products and Littlewood-Richardson coefficients
Evgeny Feigin
The Littlewood-Richardson coefficients describe the decomposition of tensor products of irreducible representations of a simple Lie algebra into irreducibles. Assuming the number o…
Linear degenerations of flag varieties: partial flags, defining equations, and group actions
Giovanni Cerulli Irelli, Xin Fang, Evgeny Feigin +2
We continue, generalize and expand our study of linear degenerations of flag varieties from [G. Cerulli Irelli, X. Fang, E. Feigin, G. Fourier, M. Reineke, Math. Z. 287 (2017), no.…