Quantum line bundles via Cayley-Hamilton identity

DOI10.1088/0305-4470/34/21/309zbMath1018.17011arXivmath/9911140OpenAlexW2002621943MaRDI QIDQ2750766

Dimitri Gurevich, Pavel A. Saponov

Publication date: 21 October 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911140

zbMATH Keywords

quantum groupline bundlespolynomial identityreflection equation algebraCayley-Hamilton identityquantum orbits

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) Geometry of quantum groups (58B32)

Related Items (8)

Representation rings of quantum groups. ⋮ Spectral extension of the quantum group cotangent bundle ⋮ Braided Weyl algebras and differential calculus on \(U(u(2))\) ⋮ \(q\)-index on braided non-commutative spheres ⋮ Generic super-orbits in \(gl(mn)^*\) and their braided counterparts ⋮ Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type ⋮ Cayley–Hamilton theorem for quantum matrix algebras of $GL(m|n)$ type ⋮ A quantum homogeneous space of nilpotent matrices.

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