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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2015 · math.RTShow all

5 papers · 2 filters

math.RT2015★ 21 cited

Cosets of Bershadsky-Polyakov algebras and rational -algebras of type

Tomoyuki Arakawa, Thomas Creutzig, Andrew R. Linshaw

The Bershadsky-Polyakov algebra is the -algebra associated to with its minimal nilpotent element . For notational convenience we defi…

math.RT2015★ 3 cited

Bethe subalgebras in affine Birman--Murakami--Wenzl algebras and flat connections for q-KZ equations

A. P. Isaev, A. N. Kirillov, V. O. Tarasov

Commutative sets of Jucys-Murphyelements for affine braid groups of types were defined. Construction of -matrix representations of the affine b…

math.RT2015★ 8 cited

Affine Yangian action on the Fock space

Ryosuke Kodera

The localized equivariant homology of the quiver variety of type can be identified with the level one Fock space by assigning a normalized torus fixed point basis t…

math.RT2015★ 68 cited

Joseph ideals and lisse minimal W-algebras

Tomoyuki Arakawa, Anne Moreau

We consider a lifting of Joseph ideals for the minimal nilpotent orbit closure to the setting of affine Kac-Moody algebras and find new examples of affine vertex algebras whose ass…

math.RT2015★ 18 cited

On Some Quadratic Algebras I : Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials

Anatol N. Kirillov

We study some combinatorial and algebraic properties of certain quadratic algebras related with dynamical classical and classical Yang-Baxter equations. One can find more details a…