TWISTED YANGIANS AND FOLDED ${\mathcal W}$ -ALGEBRAS

DOI10.1142/S0217751X01004141zbMath1058.81032arXivmath/0012182OpenAlexW1540699036MaRDI QIDQ2747045

Eric Ragoucy

Publication date: 2001

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012182

zbMATH Keywords

irreducible representation\(R\)-matrix\(W\)-algebrasymplectic algebraorthogonal algebratwisted Yangian

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items

Dirac reductions and classical W-algebras, Unnamed Item, Truncation of the reflection algebra and the Hahn algebra, Twisted super-Yangians and their representations, Screening operators and parabolic inductions for affine \(\mathcal{W}\)-algebras, More on affine Dynkin quiver Yangians, One dimensional representations of finite \(W\)-algebras, Dirac reduction and the orbit method, Finite \(W\)-superalgebras and truncated super Yangians, Representation theory of rectangular finite \(W\)-algebras, The \(R\)-matrix presentation for the Yangian of a simple Lie algebra, REPRESENTATIONS OF REFLECTION ALGEBRAS, Representations of twisted \(q\)-Yangians, Twisted Yangians and finite \(W\)-algebras, On reflection algebras and twisted Yangians

Cites Work

• Yang-Baxter equation and representation theory. I
• Hidden Yangians in 2D massive current algebras
• \(W\)-algebras and superalgebras from constrained WZW models: A group theoretical classification
• Yangian realisations from finite \({\mathcal W}\)-algebras
• Folding the \(W\) algebras
• Yangians and classical Lie algebras
• Finite-dimensional irreducible representations of twisted Yangians
• Sklyanin determinant, Laplace operators, and characteristic identities for classical Lie algebras