The “odd” Gelfand-Zetlin basis for representations of general linear Lie superalgebras
DOI10.1007/978-3-319-69164-0_51zbMath1390.17013OpenAlexW2783676171MaRDI QIDQ4643478
Neli I. Stoilova, Joris Van der Jeugt
Publication date: 24 May 2018
Published in: Physical and Mathematical Aspects of Symmetries (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-69164-0_51
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Identities, free Lie (super)algebras (17B01) Applications of Lie (super)algebras to physics, etc. (17B81) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Subalgebras, congruence relations (08A30)
Cites Work
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- Gelfand–Tsetlin Bases for Classical Lie Algebras
- Gel’fand–Zetlin basis for a class of representations of the Lie superalgebra ${\mathfrak{gl}}(\infty | \infty )$
- A Lie superalgebraic interpretation of the para-Bose statistics
- Gel’fand–Zetlin basis and Clebsch–Gordan coefficients for covariant representations of the Lie superalgebra gl(m∣n)
- A class of infinite-dimensional representations of the Lie superalgebra $\mathfrak{o}\mathfrak{s}\mathfrak{p}(2m+1|2n)$ and the parastatistics Fock space
- A Generalized Method of Field Quantization
- A generalization of field quantization and statistics
- Lie superalgebras
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