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- W2923313628 abstract "In this paper, we seek to prove the equality of the $q$-graded fermionic sums conjectured by Hatayama et al. in its full generality, by extending the results of Di Francesco and Kedem to the non-simply laced case. To this end, we will derive explicit expressions for the quantum $Q$-system relations, which are quantum cluster mutations that correspond to the classical $Q$-system relations, and write the identity of the $q$-graded fermionic sums as a constant term identity. As an application, we will show that these quantum $Q$-system relations are consistent with the short exact sequence of the Feigin-Loktev fusion product of Kirillov-Reshetikhin modules obtained by Chari and Venkatesh." @default.
- W2923313628 created "2019-04-01" @default.
- W2923313628 creator A5017514365 @default.
- W2923313628 date "2019-03-27" @default.
- W2923313628 modified "2023-09-27" @default.
- W2923313628 title "Quantum Q-systems and fermionic sums -- the non-simply laced case" @default.
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