Generators of the quantum finite W-algebras in type A

De Sole Alberto; Fedele Laura; Valeri Daniele

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Generators of the quantum finite W-algebras in type A

机译：Generators of the quantum finite W-algebras in type A

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We prove a conjecture proposed in [A. De Sole, V. G. Kac and D. Valeri, Finite W-algebras for gl(N), Adv. Math. 327 (2018) 173-224.] describing the Lax type operator L(z) for the quantum finite W-algebras of gl(N), in terms of a PBW generating system for the W-algebra. In doing so, we extend this result to an arbitrary good grading and an arbitrary isotropic subspace of g[1/2].

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《Journal of algebra and its applications》 |2020年第9期|共76页
作者
De Sole Alberto; Fedele Laura; Valeri Daniele;
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作者单位

Sapienza Univ Roma, Dipartimento Matemat, Ple Aldo Moro 2, I-00185 Rome, Italy;

Inst Math Jussieu Paris IMJ PRG, 8 Pl Aurelie Nemours, F-75205 Paris 13, France;

Univ Glasgow, Sch Math & Stat, Glasgow G12 8QQ, Lanark, Scotland;

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正文语种英语
中图分类代数、数论、组合理论;
关键词
Finite W-algebras; quasideterminant; Yangian; semisimple gradings;

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Generators of the quantum finite W-algebras in type A

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