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t-analogs of q-characters of quantum affine algebras of type $A_n$, $D_n$

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Hiraku Nakajima

Quantum Algebra · Submitted 14 Apr 2002

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We give a tableaux sum expression of $t$--analog of $q$--characters of finite dimensional representations (standard modules) of quantum affine algebras $\Ul$ when $\g$ is of type $A_n$, $D_n$.

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arXiv IDmath/0204184 (version 1)
Pith IDMCJAVQJM, Pith's permanent record of this paper and its review
CitationHiraku Nakajima. "t-analogs of q-characters of quantum affine algebras of type $A_n$, $D_n$." arXiv:math/0204184 (2002). https://pith.science/paper/MCJAVQJM
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,675 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.30 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.05 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; .

We give a tableaux sum expression of $t$--analog of $q$--characters of finite dimensional representations (standard modules) of quantum affine algebras $\Ul$ when $\g$ is of type $A_n$, $D_n$.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We give a tableaux sum expression of $t$--analog of $q$--characters of finite dimensional representations (standard modules) of quantum affine algebras $\Ul$ when $\g$ is of type $A_n$, $D_n$. contribution 0.94 0.95 0.90 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We give a tableaux sum expression of $t$--analog of $q$--characters of finite dimensional representations (standard modules) of quantum affine algebras $\Ul$ when $\g$ is of type $A_n$, $D_n$.

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