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Q-pseudodifference Drinfeld-Sokolov reduction for algebra of complex size matrices

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A.L.Pirozerski, M.A.Semenov-Tian-Shansky

Quantum Algebra · Submitted 14 May 1999

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

The authors' main claim The q-deformed version of the Drinfeld-Sokolov reduction is extended to the case of the algebra of 'complex size matrices'; this construction generalizes earlier results of B.Khesin and F.Malikov on universal DS reduction and follows the pattern of recent studies of q-deformed DS reduction which were started by E.Frenkel, N.Reshetikhin and one of the authors.

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arXiv IDmath/9905093 (version 1)
Pith IDG6K7P5UO, Pith's permanent record of this paper and its review
CitationA.L.Pirozerski, M.A.Semenov-Tian-Shansky. "Q-pseudodifference Drinfeld-Sokolov reduction for algebra of complex size matrices." arXiv:math/9905093 (1999). https://pith.science/paper/G6K7P5UO
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,733 input tokens.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.92 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The q-deformed version of the Drinfeld-Sokolov reduction is extended to the case of the algebra of 'complex size matrices'; this construction generalizes earlier results of B.Khesin and F.Malikov on universal DS reduction and follows the pattern of recent studies of q-deformed DS reduction which were started by E.Frenkel, N.Reshetikhin and one of the authors.

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 The q-deformed version of the Drinfeld-Sokolov reduction is extended to the case of the algebra of 'complex size matrices'; this construction generalizes earlier results of B.Khesin and F.Malikov on universal DS reduction and follows the pattern of recent studies of q-deformed DS reduction which were started by E.Frenkel, N.Reshetikhin and one of the authors. contribution 1.00 0.82 0.74 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.65 · evidence from proof or derivation 0.88.

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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

The q-deformed version of the Drinfeld-Sokolov reduction is extended to the case of the algebra of 'complex size matrices'; this construction generalizes earlier results of B.Khesin and F.Malikov on universal DS reduction and follows the pattern of recent studies of q-deformed DS reduction which were started by E.Frenkel, N.Reshetikhin and one of the authors.

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