Irreducible representations of quantum linear groups of type \(A_{1|0}\).

DOI10.1016/j.jalgebra.2004.08.008zbMath1148.16303OpenAlexW2066228397MaRDI QIDQ1770526

Nguyen Thi Phuong Dung, Phùng Hô` Hài

Publication date: 7 April 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.008

zbMATH Keywords

tensor productsirreducible representationscomodulesrepresentation categoriesalgebraic supergroupsmatrix quantum groupsHecke symmetriesco-Frobenius Hopf algebrasHecke equationdecomposition rulesquantized Yang-Baxter equation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Yang-Baxter equations (16T25) Coalgebras and comodules; corings (16T15)

Related Items (3)

Jacobi–Trudi type formula for a class of irreducible representations of 𝔤𝔩(m|n) ⋮ Double Koszul complex and construction of irreducible representations of $\mathfrak {gl}(3|1)$ ⋮ Jacobi-Trudi type formula for character of irreducible representations of \(\mathfrak{gl}(m|1)\)

Cites Work

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• Poincaré series of quantum spaces associated to Hecke operators
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• ON MATRIX QUANTUM GROUPS OF TYPE A_n
• Representations of Hecke Algebras of General Linear Groups
• Characters of typical representations of classical lie superalgebras
• On The Poincare Series of Quadratic Algebras Associated to Hecke Symmetries
• Blocks and Idempotents of Hecke Algebras of General Linear Groups
• Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type \(A_{0|0}\)

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