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Representations of Lie algebras

São Paulo Journal of Mathematical Sciences, 2022-05, Vol.16 (1), p.131-156

Futorny, Vyacheslav

2022

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Positive Energy Representations of Affine Vertex Algebras

Communications in mathematical physics, 2021-04, Vol.383 (2), p.841-891

2021

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Positive Energy Representations of Affine Vertex Algebras

Communications in mathematical physics, 2021, Vol.383 (2), p.841-891

2021

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Affine Lie algebra representations induced from Whittaker modules

Proceedings of the American Mathematical Society, 2023-03, Vol.151 (3), p.1041-1053

2023

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Weight Representations of Admissible Affine Vertex Algebras

Communications in mathematical physics, 2017-08, Vol.353 (3), p.1151-1178

2017

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A Poisson algebra on the Hida Test functions and a quantization using the Cuntz algebra

Letters in mathematical physics, 2022-04, Vol.112 (2), Article 24

2022

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Fibers of characters in Gelfand-Tsetlin categories

Transactions of the American Mathematical Society, 2014-08, Vol.366 (8), p.4173-4208

2014

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Noncommutative Noether’s problem vs classic Noether’s problem

Mathematische Zeitschrift, 2020-08, Vol.295 (3-4), p.1323-1335

2020

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Matrix stretching

Open mathematics (Warsaw, Poland), 2024-08, Vol.22 (1), p.212-244

2024

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Gelfand-Tsetlin theory for rational Galois algebras

Israel journal of mathematics, 2020-08, Vol.239 (1), p.99-128

2020

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Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex

Transactions of the American Mathematical Society, 2014-09, Vol.366 (9), p.4697-4731

2014

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Weight modules over infinite dimensional Weyl algebras

Proceedings of the American Mathematical Society, 2014-09, Vol.142 (9), p.3049-3057

2014

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Classification of simple Gelfand–Tsetlin modules of (3)

Bulletin of mathematical sciences, 2021-12, Vol.11 (3), p.2130001-1-2130001-109

2021

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Noncommutative Noether's problem for complex reflection groups

Proceedings of the American Mathematical Society, 2017-12, Vol.145 (12), p.5043-5052

2017

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Classification of irreducible representations of Lie algebra of vector fields on a torus

Journal für die reine und angewandte Mathematik, 2016-11, Vol.2016 (720), p.199-216

2016

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Generalized Verma Modules over Uq(sln(C))

Algebras and representation theory, 2020, Vol.23 (3), p.811-832

2020

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On the consistency of twisted generalized Weyl algebras

Proceedings of the American Mathematical Society, 2012-10, Vol.140 (10), p.3349-3363

2012

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DJKM algebras I: Their universal central extension

Proceedings of the American Mathematical Society, 2011-10, Vol.139 (10), p.3451-3460

2011

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Three Representation Types for Systems of Forms and Linear Maps

Mathematics (Basel), 2021-03, Vol.9 (5), p.455

2021

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Lie algebras of vector fields on smooth affine varieties

Communications in algebra, 2018-08, Vol.46 (8), p.3413-3429

2018

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Structure of parabolically induced modules for affine Kac–Moody algebras

Journal of algebra, 2018-04, Vol.500, p.362-374

2018

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A Jordan-Schwinger variant of the spectral theorem for linear operators

Journal of mathematical analysis and applications, 2024-03, Vol.531 (1), p.127808, Article 127808

2024

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Highest weight modules for affine Lie superalgebras

Revista matemática iberoamericana, 2021-01, Vol.37 (1), p.129-160

2021

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Classification of simple cuspidal modules for solenoidal Lie algebras

Israel journal of mathematics, 2017-10, Vol.222 (1), p.109-123

2017

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Integrable modules for affine Lie superalgebras

Transactions of the American Mathematical Society, 2009-10, Vol.361 (10), p.5435-5455

2009

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Representations of Lie algebras

Positive Energy Representations of Affine Vertex Algebras

Positive Energy Representations of Affine Vertex Algebras

Affine Lie algebra representations induced from Whittaker modules

Weight Representations of Admissible Affine Vertex Algebras

A Poisson algebra on the Hida Test functions and a quantization using the Cuntz algebra

Fibers of characters in Gelfand-Tsetlin categories

Noncommutative Noether’s problem vs classic Noether’s problem

Matrix stretching

Gelfand-Tsetlin theory for rational Galois algebras

Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex

Weight modules over infinite dimensional Weyl algebras

Classification of simple Gelfand–Tsetlin modules of (3)

Noncommutative Noether's problem for complex reflection groups

Classification of irreducible representations of Lie algebra of vector fields on a torus

Generalized Verma Modules over Uq(sln(C))

On the consistency of twisted generalized Weyl algebras

DJKM algebras I: Their universal central extension

Three Representation Types for Systems of Forms and Linear Maps

Lie algebras of vector fields on smooth affine varieties

Structure of parabolically induced modules for affine Kac–Moody algebras

A Jordan-Schwinger variant of the spectral theorem for linear operators

Highest weight modules for affine Lie superalgebras

Classification of simple cuspidal modules for solenoidal Lie algebras

Integrable modules for affine Lie superalgebras

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