B. Feigin

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19932012

most citedSymmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials

19 citations · 75 across the 15 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.QA2009

Gelfand-Zetlin basis, Whittaker vectors and a bosonic formula for the $\sln$ principal subspace

B. Feigin, M. Jimbo, T. Miwa

We derive a bosonic formula for the character of the principal space in the level $k$ vacuum module for $sl_{n + 1}$ , starting from a known fermionic formula for…

math.RT2009★ 9 cited

Zhu's algebras, $C_{2}$ -algebras and abelian radicals

Boris Feigin, Evgeny Feigin, Peter Littelmann

This paper consists of three parts. In the first part we prove that Zhu's and $C_{2}$ -algebras in type $A$ have the same dimensions. In the second part we compute the graded decompos…

Gelfand-Zetlin basis, Whittaker vectors and a bosonic formula for the $\sln$ principal subspace

Zhu's algebras, C2​-algebras and abelian radicals

Zhu's algebras, $C_{2}$ -algebras and abelian radicals