Quantum matrix algebras of the \(\text{GL}(m|n)\) type: the structure and spectral parameterization of the characteristic subalgebra

DOI10.1007/s11232-006-0054-0zbMath1177.17013OpenAlexW2016029905MaRDI QIDQ1047974

P. N. Pyatov, Dimitri Gurevich, Pavel A. Saponov

Publication date: 9 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-006-0054-0

zbMATH Keywords

Cayley-Hamilton theoremquantum groupsLittlewood-Richardson rulesupermatrices

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Ring-theoretic aspects of quantum groups (16T20)

Related Items

Spectral extension of the quantum group cotangent bundle ⋮ Quantum matrix algebras of BMW type: structure of the characteristic subalgebra ⋮ Braided algebras and their applications to noncommutative geometry ⋮ A quantum analogue of the first fundamental theorem of classical invariant theory ⋮ \(N\)-homogeneous superalgebras. ⋮ Braided differential operators on quantum algebras ⋮ Generic super-orbits in \(gl(mn)^*\) and their braided counterparts ⋮ Cayley-Hamilton theorem for symplectic quantum matrix algebras ⋮ Spectral parameterization for power sums of a quantum supermatrix ⋮ Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type

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