Hopf algebras with trace and representations
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Publication:2484069
DOI10.1007/s00222-004-0405-0zbMath1132.17007arXivmath/0304313OpenAlexW2008981239MaRDI QIDQ2484069
Marc Rosso, Nicolai Reshetikhin, Corrado De Concini, Claudio Procesi
Publication date: 2 August 2005
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0304313
irreducible representationquantized universal enveloping algebraClebsch-Gordan formulaCayley-Hamilton algebra
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Cites Work
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- Quantum Weyl group and a multiplicative formula for the R-matrix of a simple Lie algebra
- A formal inverse to the Cayley-Hamilton theorem
- Finite dimensional representations of algebras
- The invariant theory of \(n\times n\) matrices
- Azumaya algebras and Artin's theorem
- Some remarkable degenerations of quantum groups
- Quantum function algebra at roots of 1
- Regular elements of semisimple algebraic groups
- On Azumaya algebras and finite dimensional representations of rings
- Semisimple Representations of Quivers
- Quantum Coadjoint Action
- TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO