Irreducible Wakimoto-like modules for the Lie superalgebra \(D(2, 1;\alpha)\)

DOI10.1007/s10114-018-7265-9zbMath1404.17010OpenAlexW2801885444MaRDI QIDQ1633840

Zi Ting Zeng, Jin Cheng

Publication date: 21 December 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-7265-9

zbMATH Keywords

representationLie superalgebraWakimoto's free field

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25)

Related Items (1)

Generalized \(P(N)\)-graded Lie superalgebras

Cites Work

• Unnamed Item
• A family of representations of the Lie superalgebra \(\widehat{\mathfrak{gl}_{m | n}}(\mathbb{C}_q)\)
• Bosonic and fermionic representations of Lie algebra central extensions
• A class of irreducible modules for the extended affine Lie algebra \(\widetilde{\mathfrak{gl}}_l(\mathbb{C}_q)\)
• Hermitian representations of the extended affine Lie algebra \(\widehat {\mathfrak {gl}_2(\mathbb {C}_q)}\)
• Generalised Verma modules for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{k|2}\)
• A family of representations of the Lie superalgebra \(\widehat{\mathfrak{gl}_{1|l-1}}(\mathbb C_q)\)
• Character and dimension formulae for queer Lie superalgebra
• Irreducible characters of Kac-Moody Lie superalgebras
• IRREDUCIBLE WAKIMOTO-LIKE MODULES FOR THE AFFINE LIE ALGEBRA $\widehat{\mathfrak{g}{\mathfrak{l}_n}}$
• Fermionic and Bosonic Representations of the Extended Affine Lie Algebra
• Categorification of quantum Kac-Moody superalgebras
• Lie superalgebras

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